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Finding the Fourth Proportional to 1,032.89, 1,425.26 and 590.69

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Solution

The fourth proportional to 1,032.89, 1,425.26 and 590.69 is: 815.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.89 : 1,425.26 = 590.69 : x
  2. Step 2: Convert to fraction form
    1,032.89/1,425.26 = 590.69/x
  3. Step 3: Cross multiply
    1,032.89x = 1,425.26 × 590.69
  4. Step 4: Simplify right side
    1,032.89x = 841,891.87
  5. Step 5: Solve for x
    x = 841,891.87/1,032.89
  6. Step 6: Final answer
    x = 815.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.