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Finding the Fourth Proportional to 1,046.01, 1,569.01 and 498.58

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Solution

The fourth proportional to 1,046.01, 1,569.01 and 498.58 is: 747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.01 : 1,569.01 = 498.58 : x
  2. Step 2: Convert to fraction form
    1,046.01/1,569.01 = 498.58/x
  3. Step 3: Cross multiply
    1,046.01x = 1,569.01 × 498.58
  4. Step 4: Simplify right side
    1,046.01x = 782,269.16
  5. Step 5: Solve for x
    x = 782,269.16/1,046.01
  6. Step 6: Final answer
    x = 747.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.