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Finding the Fourth Proportional to 1,031.93, 1,424.06 and 590.09

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Solution

The fourth proportional to 1,031.93, 1,424.06 and 590.09 is: 814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.93 : 1,424.06 = 590.09 : x
  2. Step 2: Convert to fraction form
    1,031.93/1,424.06 = 590.09/x
  3. Step 3: Cross multiply
    1,031.93x = 1,424.06 × 590.09
  4. Step 4: Simplify right side
    1,031.93x = 840,323.57
  5. Step 5: Solve for x
    x = 840,323.57/1,031.93
  6. Step 6: Final answer
    x = 814.32

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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.