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Finding the Fourth Proportional to 972.75, 1,341.15 and 795.51

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Solution

The fourth proportional to 972.75, 1,341.15 and 795.51 is: 1,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.75 : 1,341.15 = 795.51 : x
  2. Step 2: Convert to fraction form
    972.75/1,341.15 = 795.51/x
  3. Step 3: Cross multiply
    972.75x = 1,341.15 × 795.51
  4. Step 4: Simplify right side
    972.75x = 1,066,898.24
  5. Step 5: Solve for x
    x = 1,066,898.24/972.75
  6. Step 6: Final answer
    x = 1,096.79

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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.