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Finding the Fourth Proportional to 760.74, 1,141.43 and 414.32

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Solution

The fourth proportional to 760.74, 1,141.43 and 414.32 is: 621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.74 : 1,141.43 = 414.32 : x
  2. Step 2: Convert to fraction form
    760.74/1,141.43 = 414.32/x
  3. Step 3: Cross multiply
    760.74x = 1,141.43 × 414.32
  4. Step 4: Simplify right side
    760.74x = 472,909.50
  5. Step 5: Solve for x
    x = 472,909.50/760.74
  6. Step 6: Final answer
    x = 621.64

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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.