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Finding the Fourth Proportional to 1,154.22, 1,592.55 and 711.96

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Solution

The fourth proportional to 1,154.22, 1,592.55 and 711.96 is: 982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.22 : 1,592.55 = 711.96 : x
  2. Step 2: Convert to fraction form
    1,154.22/1,592.55 = 711.96/x
  3. Step 3: Cross multiply
    1,154.22x = 1,592.55 × 711.96
  4. Step 4: Simplify right side
    1,154.22x = 1,133,831.90
  5. Step 5: Solve for x
    x = 1,133,831.90/1,154.22
  6. Step 6: Final answer
    x = 982.34

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.