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Finding the Fourth Proportional to 746.52, 1,030.04 and 569.44

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Solution

The fourth proportional to 746.52, 1,030.04 and 569.44 is: 785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.52 : 1,030.04 = 569.44 : x
  2. Step 2: Convert to fraction form
    746.52/1,030.04 = 569.44/x
  3. Step 3: Cross multiply
    746.52x = 1,030.04 × 569.44
  4. Step 4: Simplify right side
    746.52x = 586,545.98
  5. Step 5: Solve for x
    x = 586,545.98/746.52
  6. Step 6: Final answer
    x = 785.71

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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.