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Finding the Fourth Proportional to 1,084.13, 1,496.10 and 586.78

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Solution

The fourth proportional to 1,084.13, 1,496.10 and 586.78 is: 809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.13 : 1,496.10 = 586.78 : x
  2. Step 2: Convert to fraction form
    1,084.13/1,496.10 = 586.78/x
  3. Step 3: Cross multiply
    1,084.13x = 1,496.10 × 586.78
  4. Step 4: Simplify right side
    1,084.13x = 877,874.08
  5. Step 5: Solve for x
    x = 877,874.08/1,084.13
  6. Step 6: Final answer
    x = 809.75

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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.