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Finding the Fourth Proportional to 726.65, 1,002.03 and 569

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Solution

The fourth proportional to 726.65, 1,002.03 and 569 is: 784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.65 : 1,002.03 = 569 : x
  2. Step 2: Convert to fraction form
    726.65/1,002.03 = 569/x
  3. Step 3: Cross multiply
    726.65x = 1,002.03 × 569
  4. Step 4: Simplify right side
    726.65x = 570,155.07
  5. Step 5: Solve for x
    x = 570,155.07/726.65
  6. Step 6: Final answer
    x = 784.64

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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.