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Finding the Fourth Proportional to 1,084.32, 1,496.49 and 642.23

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Solution

The fourth proportional to 1,084.32, 1,496.49 and 642.23 is: 886.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.32 : 1,496.49 = 642.23 : x
  2. Step 2: Convert to fraction form
    1,084.32/1,496.49 = 642.23/x
  3. Step 3: Cross multiply
    1,084.32x = 1,496.49 × 642.23
  4. Step 4: Simplify right side
    1,084.32x = 961,083.29
  5. Step 5: Solve for x
    x = 961,083.29/1,084.32
  6. Step 6: Final answer
    x = 886.35

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1.5x scale

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.