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Finding the Fourth Proportional to 1,087.83, 1,501.19 and 590.46

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Solution

The fourth proportional to 1,087.83, 1,501.19 and 590.46 is: 814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.83 : 1,501.19 = 590.46 : x
  2. Step 2: Convert to fraction form
    1,087.83/1,501.19 = 590.46/x
  3. Step 3: Cross multiply
    1,087.83x = 1,501.19 × 590.46
  4. Step 4: Simplify right side
    1,087.83x = 886,394.49
  5. Step 5: Solve for x
    x = 886,394.49/1,087.83
  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.