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Finding the Fourth Proportional to 1,032.50, 1,424.88 and 590.45

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Solution

The fourth proportional to 1,032.50, 1,424.88 and 590.45 is: 814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.50 : 1,424.88 = 590.45 : x
  2. Step 2: Convert to fraction form
    1,032.50/1,424.88 = 590.45/x
  3. Step 3: Cross multiply
    1,032.50x = 1,424.88 × 590.45
  4. Step 4: Simplify right side
    1,032.50x = 841,313.27
  5. Step 5: Solve for x
    x = 841,313.27/1,032.50
  6. Step 6: Final answer
    x = 814.83

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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.