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Finding the Fourth Proportional to 1,089, 1,497.66 and 865.32

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Solution

The fourth proportional to 1,089, 1,497.66 and 865.32 is: 1,190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089 : 1,497.66 = 865.32 : x
  2. Step 2: Convert to fraction form
    1,089/1,497.66 = 865.32/x
  3. Step 3: Cross multiply
    1,089x = 1,497.66 × 865.32
  4. Step 4: Simplify right side
    1,089x = 1,295,955.15
  5. Step 5: Solve for x
    x = 1,295,955.15/1,089
  6. Step 6: Final answer
    x = 1,190.04

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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.