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Finding the Fourth Proportional to 1,046.33, 1,569.78 and 430.47

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Solution

The fourth proportional to 1,046.33, 1,569.78 and 430.47 is: 645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.33 : 1,569.78 = 430.47 : x
  2. Step 2: Convert to fraction form
    1,046.33/1,569.78 = 430.47/x
  3. Step 3: Cross multiply
    1,046.33x = 1,569.78 × 430.47
  4. Step 4: Simplify right side
    1,046.33x = 675,743.20
  5. Step 5: Solve for x
    x = 675,743.20/1,046.33
  6. Step 6: Final answer
    x = 645.82

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