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Finding the Fourth Proportional to 916.74, 1,373.90 and 800.10

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Solution

The fourth proportional to 916.74, 1,373.90 and 800.10 is: 1,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.74 : 1,373.90 = 800.10 : x
  2. Step 2: Convert to fraction form
    916.74/1,373.90 = 800.10/x
  3. Step 3: Cross multiply
    916.74x = 1,373.90 × 800.10
  4. Step 4: Simplify right side
    916.74x = 1,099,253.39
  5. Step 5: Solve for x
    x = 1,099,253.39/916.74
  6. Step 6: Final answer
    x = 1,199.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.