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Finding the Fourth Proportional to 972.10, 1,341.52 and 552.44

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Solution

The fourth proportional to 972.10, 1,341.52 and 552.44 is: 762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.10 : 1,341.52 = 552.44 : x
  2. Step 2: Convert to fraction form
    972.10/1,341.52 = 552.44/x
  3. Step 3: Cross multiply
    972.10x = 1,341.52 × 552.44
  4. Step 4: Simplify right side
    972.10x = 741,109.31
  5. Step 5: Solve for x
    x = 741,109.31/972.10
  6. Step 6: Final answer
    x = 762.38

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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.