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Finding the Fourth Proportional to 734.74, 1,013.52 and 568.69

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Solution

The fourth proportional to 734.74, 1,013.52 and 568.69 is: 784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.74 : 1,013.52 = 568.69 : x
  2. Step 2: Convert to fraction form
    734.74/1,013.52 = 568.69/x
  3. Step 3: Cross multiply
    734.74x = 1,013.52 × 568.69
  4. Step 4: Simplify right side
    734.74x = 576,378.69
  5. Step 5: Solve for x
    x = 576,378.69/734.74
  6. Step 6: Final answer
    x = 784.47

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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.