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Finding the Fourth Proportional to 875.37, 1,209.76 and 717.76

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Solution

The fourth proportional to 875.37, 1,209.76 and 717.76 is: 991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.37 : 1,209.76 = 717.76 : x
  2. Step 2: Convert to fraction form
    875.37/1,209.76 = 717.76/x
  3. Step 3: Cross multiply
    875.37x = 1,209.76 × 717.76
  4. Step 4: Simplify right side
    875.37x = 868,317.06
  5. Step 5: Solve for x
    x = 868,317.06/875.37
  6. Step 6: Final answer
    x = 991.94

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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.