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Finding the Fourth Proportional to 760.96, 1,140.72 and 414.24

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Solution

The fourth proportional to 760.96, 1,140.72 and 414.24 is: 620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.96 : 1,140.72 = 414.24 : x
  2. Step 2: Convert to fraction form
    760.96/1,140.72 = 414.24/x
  3. Step 3: Cross multiply
    760.96x = 1,140.72 × 414.24
  4. Step 4: Simplify right side
    760.96x = 472,531.85
  5. Step 5: Solve for x
    x = 472,531.85/760.96
  6. Step 6: Final answer
    x = 620.97

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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.