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Finding the Fourth Proportional to 1,046.47, 1,569.72 and 429.75

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Solution

The fourth proportional to 1,046.47, 1,569.72 and 429.75 is: 644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.47 : 1,569.72 = 429.75 : x
  2. Step 2: Convert to fraction form
    1,046.47/1,569.72 = 429.75/x
  3. Step 3: Cross multiply
    1,046.47x = 1,569.72 × 429.75
  4. Step 4: Simplify right side
    1,046.47x = 674,587.17
  5. Step 5: Solve for x
    x = 674,587.17/1,046.47
  6. Step 6: Final answer
    x = 644.63

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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.