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Finding the Fourth Proportional to 1,088.43, 1,501.36 and 646.23

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Solution

The fourth proportional to 1,088.43, 1,501.36 and 646.23 is: 891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.43 : 1,501.36 = 646.23 : x
  2. Step 2: Convert to fraction form
    1,088.43/1,501.36 = 646.23/x
  3. Step 3: Cross multiply
    1,088.43x = 1,501.36 × 646.23
  4. Step 4: Simplify right side
    1,088.43x = 970,223.87
  5. Step 5: Solve for x
    x = 970,223.87/1,088.43
  6. Step 6: Final answer
    x = 891.40

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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.