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Finding the Fourth Proportional to 957.18, 1,432.79 and 610.91

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Solution

The fourth proportional to 957.18, 1,432.79 and 610.91 is: 914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.18 : 1,432.79 = 610.91 : x
  2. Step 2: Convert to fraction form
    957.18/1,432.79 = 610.91/x
  3. Step 3: Cross multiply
    957.18x = 1,432.79 × 610.91
  4. Step 4: Simplify right side
    957.18x = 875,303.18
  5. Step 5: Solve for x
    x = 875,303.18/957.18
  6. Step 6: Final answer
    x = 914.46

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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.