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Finding the Fourth Proportional to 1,084.64, 1,496.54 and 642.30

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Solution

The fourth proportional to 1,084.64, 1,496.54 and 642.30 is: 886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.64 : 1,496.54 = 642.30 : x
  2. Step 2: Convert to fraction form
    1,084.64/1,496.54 = 642.30/x
  3. Step 3: Cross multiply
    1,084.64x = 1,496.54 × 642.30
  4. Step 4: Simplify right side
    1,084.64x = 961,223.64
  5. Step 5: Solve for x
    x = 961,223.64/1,084.64
  6. Step 6: Final answer
    x = 886.21

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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.