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Finding the Fourth Proportional to 760.97, 1,050.24 and 565.04

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Solution

The fourth proportional to 760.97, 1,050.24 and 565.04 is: 779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.97 : 1,050.24 = 565.04 : x
  2. Step 2: Convert to fraction form
    760.97/1,050.24 = 565.04/x
  3. Step 3: Cross multiply
    760.97x = 1,050.24 × 565.04
  4. Step 4: Simplify right side
    760.97x = 593,422.36
  5. Step 5: Solve for x
    x = 593,422.36/760.97
  6. Step 6: Final answer
    x = 779.83

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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.