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Finding the Fourth Proportional to 1,071.84, 1,606.16 and 865.44

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Solution

The fourth proportional to 1,071.84, 1,606.16 and 865.44 is: 1,296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.84 : 1,606.16 = 865.44 : x
  2. Step 2: Convert to fraction form
    1,071.84/1,606.16 = 865.44/x
  3. Step 3: Cross multiply
    1,071.84x = 1,606.16 × 865.44
  4. Step 4: Simplify right side
    1,071.84x = 1,390,035.11
  5. Step 5: Solve for x
    x = 1,390,035.11/1,071.84
  6. Step 6: Final answer
    x = 1,296.87

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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.