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Finding the Fourth Proportional to 977.19, 1,461.41 and 868.18

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Solution

The fourth proportional to 977.19, 1,461.41 and 868.18 is: 1,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.19 : 1,461.41 = 868.18 : x
  2. Step 2: Convert to fraction form
    977.19/1,461.41 = 868.18/x
  3. Step 3: Cross multiply
    977.19x = 1,461.41 × 868.18
  4. Step 4: Simplify right side
    977.19x = 1,268,762.59
  5. Step 5: Solve for x
    x = 1,268,762.59/977.19
  6. Step 6: Final answer
    x = 1,298.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.