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Finding the Fourth Proportional to 950.92, 1,312.40 and 558.06

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Solution

The fourth proportional to 950.92, 1,312.40 and 558.06 is: 770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.92 : 1,312.40 = 558.06 : x
  2. Step 2: Convert to fraction form
    950.92/1,312.40 = 558.06/x
  3. Step 3: Cross multiply
    950.92x = 1,312.40 × 558.06
  4. Step 4: Simplify right side
    950.92x = 732,397.94
  5. Step 5: Solve for x
    x = 732,397.94/950.92
  6. Step 6: Final answer
    x = 770.20

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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.