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Finding the Fourth Proportional to 1,032.40, 1,424.78 and 590.44

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Solution

The fourth proportional to 1,032.40, 1,424.78 and 590.44 is: 814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.40 : 1,424.78 = 590.44 : x
  2. Step 2: Convert to fraction form
    1,032.40/1,424.78 = 590.44/x
  3. Step 3: Cross multiply
    1,032.40x = 1,424.78 × 590.44
  4. Step 4: Simplify right side
    1,032.40x = 841,245.02
  5. Step 5: Solve for x
    x = 841,245.02/1,032.40
  6. Step 6: Final answer
    x = 814.85

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Why These Related Problems?

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