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Finding the Fourth Proportional to 977.13, 1,465.79 and 392.18

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Solution

The fourth proportional to 977.13, 1,465.79 and 392.18 is: 588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.13 : 1,465.79 = 392.18 : x
  2. Step 2: Convert to fraction form
    977.13/1,465.79 = 392.18/x
  3. Step 3: Cross multiply
    977.13x = 1,465.79 × 392.18
  4. Step 4: Simplify right side
    977.13x = 574,844.23
  5. Step 5: Solve for x
    x = 574,844.23/977.13
  6. Step 6: Final answer
    x = 588.30

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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.