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Finding the Fourth Proportional to 1,032.48, 1,424.84 and 590.48

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Solution

The fourth proportional to 1,032.48, 1,424.84 and 590.48 is: 814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.48 : 1,424.84 = 590.48 : x
  2. Step 2: Convert to fraction form
    1,032.48/1,424.84 = 590.48/x
  3. Step 3: Cross multiply
    1,032.48x = 1,424.84 × 590.48
  4. Step 4: Simplify right side
    1,032.48x = 841,339.52
  5. Step 5: Solve for x
    x = 841,339.52/1,032.48
  6. Step 6: Final answer
    x = 814.87

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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.