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Finding the Fourth Proportional to 1,032.67, 1,425.14 and 590.65

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Solution

The fourth proportional to 1,032.67, 1,425.14 and 590.65 is: 815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.67 : 1,425.14 = 590.65 : x
  2. Step 2: Convert to fraction form
    1,032.67/1,425.14 = 590.65/x
  3. Step 3: Cross multiply
    1,032.67x = 1,425.14 × 590.65
  4. Step 4: Simplify right side
    1,032.67x = 841,758.94
  5. Step 5: Solve for x
    x = 841,758.94/1,032.67
  6. Step 6: Final answer
    x = 815.13

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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.