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Finding the Fourth Proportional to 957.95, 1,437.03 and 410.04

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Solution

The fourth proportional to 957.95, 1,437.03 and 410.04 is: 615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.95 : 1,437.03 = 410.04 : x
  2. Step 2: Convert to fraction form
    957.95/1,437.03 = 410.04/x
  3. Step 3: Cross multiply
    957.95x = 1,437.03 × 410.04
  4. Step 4: Simplify right side
    957.95x = 589,239.78
  5. Step 5: Solve for x
    x = 589,239.78/957.95
  6. Step 6: Final answer
    x = 615.11

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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.