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Finding the Fourth Proportional to 760.02, 1,049.13 and 527.28

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Solution

The fourth proportional to 760.02, 1,049.13 and 527.28 is: 727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.02 : 1,049.13 = 527.28 : x
  2. Step 2: Convert to fraction form
    760.02/1,049.13 = 527.28/x
  3. Step 3: Cross multiply
    760.02x = 1,049.13 × 527.28
  4. Step 4: Simplify right side
    760.02x = 553,185.27
  5. Step 5: Solve for x
    x = 553,185.27/760.02
  6. Step 6: Final answer
    x = 727.86

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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.