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Finding the Fourth Proportional to 1,043.12, 1,564.68 and 458.30

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Solution

The fourth proportional to 1,043.12, 1,564.68 and 458.30 is: 687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.12 : 1,564.68 = 458.30 : x
  2. Step 2: Convert to fraction form
    1,043.12/1,564.68 = 458.30/x
  3. Step 3: Cross multiply
    1,043.12x = 1,564.68 × 458.30
  4. Step 4: Simplify right side
    1,043.12x = 717,092.84
  5. Step 5: Solve for x
    x = 717,092.84/1,043.12
  6. Step 6: Final answer
    x = 687.45

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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.