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Finding the Fourth Proportional to 950.88, 1,426.72 and 585.12

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Solution

The fourth proportional to 950.88, 1,426.72 and 585.12 is: 877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.88 : 1,426.72 = 585.12 : x
  2. Step 2: Convert to fraction form
    950.88/1,426.72 = 585.12/x
  3. Step 3: Cross multiply
    950.88x = 1,426.72 × 585.12
  4. Step 4: Simplify right side
    950.88x = 834,802.41
  5. Step 5: Solve for x
    x = 834,802.41/950.88
  6. Step 6: Final answer
    x = 877.93

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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.