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Finding the Fourth Proportional to 977.23, 1,348.51 and 557.62

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Solution

The fourth proportional to 977.23, 1,348.51 and 557.62 is: 769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.23 : 1,348.51 = 557.62 : x
  2. Step 2: Convert to fraction form
    977.23/1,348.51 = 557.62/x
  3. Step 3: Cross multiply
    977.23x = 1,348.51 × 557.62
  4. Step 4: Simplify right side
    977.23x = 751,956.15
  5. Step 5: Solve for x
    x = 751,956.15/977.23
  6. Step 6: Final answer
    x = 769.48

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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.