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Finding the Fourth Proportional to 1,081.04, 1,612.80 and 916.88

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Solution

The fourth proportional to 1,081.04, 1,612.80 and 916.88 is: 1,367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.04 : 1,612.80 = 916.88 : x
  2. Step 2: Convert to fraction form
    1,081.04/1,612.80 = 916.88/x
  3. Step 3: Cross multiply
    1,081.04x = 1,612.80 × 916.88
  4. Step 4: Simplify right side
    1,081.04x = 1,478,744.06
  5. Step 5: Solve for x
    x = 1,478,744.06/1,081.04
  6. Step 6: Final answer
    x = 1,367.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.