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Finding the Fourth Proportional to 950.76, 1,312.06 and 558.06

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Solution

The fourth proportional to 950.76, 1,312.06 and 558.06 is: 770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.76 : 1,312.06 = 558.06 : x
  2. Step 2: Convert to fraction form
    950.76/1,312.06 = 558.06/x
  3. Step 3: Cross multiply
    950.76x = 1,312.06 × 558.06
  4. Step 4: Simplify right side
    950.76x = 732,208.20
  5. Step 5: Solve for x
    x = 732,208.20/950.76
  6. Step 6: Final answer
    x = 770.13

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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.