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Finding the Fourth Proportional to 1,585.40, 2,377.82 and 430.88

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Solution

The fourth proportional to 1,585.40, 2,377.82 and 430.88 is: 646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.40 : 2,377.82 = 430.88 : x
  2. Step 2: Convert to fraction form
    1,585.40/2,377.82 = 430.88/x
  3. Step 3: Cross multiply
    1,585.40x = 2,377.82 × 430.88
  4. Step 4: Simplify right side
    1,585.40x = 1,024,544.27
  5. Step 5: Solve for x
    x = 1,024,544.27/1,585.40
  6. Step 6: Final answer
    x = 646.24

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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.