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Finding the Fourth Proportional to 957.74, 1,437.25 and 410.06

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Solution

The fourth proportional to 957.74, 1,437.25 and 410.06 is: 615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.74 : 1,437.25 = 410.06 : x
  2. Step 2: Convert to fraction form
    957.74/1,437.25 = 410.06/x
  3. Step 3: Cross multiply
    957.74x = 1,437.25 × 410.06
  4. Step 4: Simplify right side
    957.74x = 589,350.52
  5. Step 5: Solve for x
    x = 589,350.52/957.74
  6. Step 6: Final answer
    x = 615.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.