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Finding the Fourth Proportional to 875.19, 1,206.64 and 717.24

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Solution

The fourth proportional to 875.19, 1,206.64 and 717.24 is: 988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.19 : 1,206.64 = 717.24 : x
  2. Step 2: Convert to fraction form
    875.19/1,206.64 = 717.24/x
  3. Step 3: Cross multiply
    875.19x = 1,206.64 × 717.24
  4. Step 4: Simplify right side
    875.19x = 865,450.47
  5. Step 5: Solve for x
    x = 865,450.47/875.19
  6. Step 6: Final answer
    x = 988.87

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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.