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Finding the Fourth Proportional to 1,043.71, 1,567.10 and 582.39

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Solution

The fourth proportional to 1,043.71, 1,567.10 and 582.39 is: 874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.71 : 1,567.10 = 582.39 : x
  2. Step 2: Convert to fraction form
    1,043.71/1,567.10 = 582.39/x
  3. Step 3: Cross multiply
    1,043.71x = 1,567.10 × 582.39
  4. Step 4: Simplify right side
    1,043.71x = 912,664.82
  5. Step 5: Solve for x
    x = 912,664.82/1,043.71
  6. Step 6: Final answer
    x = 874.45

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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.