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Finding the Fourth Proportional to 760.92, 1,140.12 and 472.20

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Solution

The fourth proportional to 760.92, 1,140.12 and 472.20 is: 707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.92 : 1,140.12 = 472.20 : x
  2. Step 2: Convert to fraction form
    760.92/1,140.12 = 472.20/x
  3. Step 3: Cross multiply
    760.92x = 1,140.12 × 472.20
  4. Step 4: Simplify right side
    760.92x = 538,364.66
  5. Step 5: Solve for x
    x = 538,364.66/760.92
  6. Step 6: Final answer
    x = 707.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.