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Finding the Fourth Proportional to 1,043.90, 1,566.39 and 557.10

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Solution

The fourth proportional to 1,043.90, 1,566.39 and 557.10 is: 835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.90 : 1,566.39 = 557.10 : x
  2. Step 2: Convert to fraction form
    1,043.90/1,566.39 = 557.10/x
  3. Step 3: Cross multiply
    1,043.90x = 1,566.39 × 557.10
  4. Step 4: Simplify right side
    1,043.90x = 872,635.87
  5. Step 5: Solve for x
    x = 872,635.87/1,043.90
  6. Step 6: Final answer
    x = 835.94

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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.