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Finding the Fourth Proportional to 1,079.61, 1,490.47 and 866.38

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Solution

The fourth proportional to 1,079.61, 1,490.47 and 866.38 is: 1,196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.61 : 1,490.47 = 866.38 : x
  2. Step 2: Convert to fraction form
    1,079.61/1,490.47 = 866.38/x
  3. Step 3: Cross multiply
    1,079.61x = 1,490.47 × 866.38
  4. Step 4: Simplify right side
    1,079.61x = 1,291,301.61
  5. Step 5: Solve for x
    x = 1,291,301.61/1,079.61
  6. Step 6: Final answer
    x = 1,196.09

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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.