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Finding the Fourth Proportional to 1,046.54, 1,569.75 and 353.14

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Solution

The fourth proportional to 1,046.54, 1,569.75 and 353.14 is: 529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.54 : 1,569.75 = 353.14 : x
  2. Step 2: Convert to fraction form
    1,046.54/1,569.75 = 353.14/x
  3. Step 3: Cross multiply
    1,046.54x = 1,569.75 × 353.14
  4. Step 4: Simplify right side
    1,046.54x = 554,341.52
  5. Step 5: Solve for x
    x = 554,341.52/1,046.54
  6. Step 6: Final answer
    x = 529.69

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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.