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Finding the Fourth Proportional to 1,043.89, 1,566.27 and 458.59

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Solution

The fourth proportional to 1,043.89, 1,566.27 and 458.59 is: 688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.89 : 1,566.27 = 458.59 : x
  2. Step 2: Convert to fraction form
    1,043.89/1,566.27 = 458.59/x
  3. Step 3: Cross multiply
    1,043.89x = 1,566.27 × 458.59
  4. Step 4: Simplify right side
    1,043.89x = 718,275.76
  5. Step 5: Solve for x
    x = 718,275.76/1,043.89
  6. Step 6: Final answer
    x = 688.08

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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.