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Finding the Fourth Proportional to 977.18, 1,465.11 and 538.64

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Solution

The fourth proportional to 977.18, 1,465.11 and 538.64 is: 807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.18 : 1,465.11 = 538.64 : x
  2. Step 2: Convert to fraction form
    977.18/1,465.11 = 538.64/x
  3. Step 3: Cross multiply
    977.18x = 1,465.11 × 538.64
  4. Step 4: Simplify right side
    977.18x = 789,159.52
  5. Step 5: Solve for x
    x = 789,159.52/977.18
  6. Step 6: Final answer
    x = 807.59

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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.