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Finding the Fourth Proportional to 1,032.38, 1,424.66 and 590.32

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Solution

The fourth proportional to 1,032.38, 1,424.66 and 590.32 is: 814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.38 : 1,424.66 = 590.32 : x
  2. Step 2: Convert to fraction form
    1,032.38/1,424.66 = 590.32/x
  3. Step 3: Cross multiply
    1,032.38x = 1,424.66 × 590.32
  4. Step 4: Simplify right side
    1,032.38x = 841,004.12
  5. Step 5: Solve for x
    x = 841,004.12/1,032.38
  6. Step 6: Final answer
    x = 814.63

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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.