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Finding the Fourth Proportional to 880.98, 1,215.84 and 508.02

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Solution

The fourth proportional to 880.98, 1,215.84 and 508.02 is: 701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.98 : 1,215.84 = 508.02 : x
  2. Step 2: Convert to fraction form
    880.98/1,215.84 = 508.02/x
  3. Step 3: Cross multiply
    880.98x = 1,215.84 × 508.02
  4. Step 4: Simplify right side
    880.98x = 617,671.04
  5. Step 5: Solve for x
    x = 617,671.04/880.98
  6. Step 6: Final answer
    x = 701.12

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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.