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Finding the Fourth Proportional to 1,032.81, 1,424.94 and 590.55

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Solution

The fourth proportional to 1,032.81, 1,424.94 and 590.55 is: 814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.81 : 1,424.94 = 590.55 : x
  2. Step 2: Convert to fraction form
    1,032.81/1,424.94 = 590.55/x
  3. Step 3: Cross multiply
    1,032.81x = 1,424.94 × 590.55
  4. Step 4: Simplify right side
    1,032.81x = 841,498.32
  5. Step 5: Solve for x
    x = 841,498.32/1,032.81
  6. Step 6: Final answer
    x = 814.77

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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.