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Finding the Fourth Proportional to 726.02, 1,001.90 and 568.81

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Solution

The fourth proportional to 726.02, 1,001.90 and 568.81 is: 784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.02 : 1,001.90 = 568.81 : x
  2. Step 2: Convert to fraction form
    726.02/1,001.90 = 568.81/x
  3. Step 3: Cross multiply
    726.02x = 1,001.90 × 568.81
  4. Step 4: Simplify right side
    726.02x = 569,890.74
  5. Step 5: Solve for x
    x = 569,890.74/726.02
  6. Step 6: Final answer
    x = 784.95

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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.