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Finding the Fourth Proportional to 1,032.75, 1,425.30 and 590.59

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Solution

The fourth proportional to 1,032.75, 1,425.30 and 590.59 is: 815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.75 : 1,425.30 = 590.59 : x
  2. Step 2: Convert to fraction form
    1,032.75/1,425.30 = 590.59/x
  3. Step 3: Cross multiply
    1,032.75x = 1,425.30 × 590.59
  4. Step 4: Simplify right side
    1,032.75x = 841,767.49
  5. Step 5: Solve for x
    x = 841,767.49/1,032.75
  6. Step 6: Final answer
    x = 815.07

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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.