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Finding the Fourth Proportional to 880.76, 1,215.70 and 508

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Solution

The fourth proportional to 880.76, 1,215.70 and 508 is: 701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.76 : 1,215.70 = 508 : x
  2. Step 2: Convert to fraction form
    880.76/1,215.70 = 508/x
  3. Step 3: Cross multiply
    880.76x = 1,215.70 × 508
  4. Step 4: Simplify right side
    880.76x = 617,575.60
  5. Step 5: Solve for x
    x = 617,575.60/880.76
  6. Step 6: Final answer
    x = 701.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.