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Finding the Fourth Proportional to 957.60, 1,434.24 and 572.04

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Solution

The fourth proportional to 957.60, 1,434.24 and 572.04 is: 856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.60 : 1,434.24 = 572.04 : x
  2. Step 2: Convert to fraction form
    957.60/1,434.24 = 572.04/x
  3. Step 3: Cross multiply
    957.60x = 1,434.24 × 572.04
  4. Step 4: Simplify right side
    957.60x = 820,442.65
  5. Step 5: Solve for x
    x = 820,442.65/957.60
  6. Step 6: Final answer
    x = 856.77

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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.