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Finding the Fourth Proportional to 1,585.31, 2,378.04 and 431.06

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Solution

The fourth proportional to 1,585.31, 2,378.04 and 431.06 is: 646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.31 : 2,378.04 = 431.06 : x
  2. Step 2: Convert to fraction form
    1,585.31/2,378.04 = 431.06/x
  3. Step 3: Cross multiply
    1,585.31x = 2,378.04 × 431.06
  4. Step 4: Simplify right side
    1,585.31x = 1,025,082.25
  5. Step 5: Solve for x
    x = 1,025,082.25/1,585.31
  6. Step 6: Final answer
    x = 646.61

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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.