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Finding the Fourth Proportional to 760.56, 1,140.54 and 414.18

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Solution

The fourth proportional to 760.56, 1,140.54 and 414.18 is: 621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.56 : 1,140.54 = 414.18 : x
  2. Step 2: Convert to fraction form
    760.56/1,140.54 = 414.18/x
  3. Step 3: Cross multiply
    760.56x = 1,140.54 × 414.18
  4. Step 4: Simplify right side
    760.56x = 472,388.86
  5. Step 5: Solve for x
    x = 472,388.86/760.56
  6. Step 6: Final answer
    x = 621.11

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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.