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Finding the Fourth Proportional to 1,585.69, 2,378.63 and 431.44

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Solution

The fourth proportional to 1,585.69, 2,378.63 and 431.44 is: 647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.69 : 2,378.63 = 431.44 : x
  2. Step 2: Convert to fraction form
    1,585.69/2,378.63 = 431.44/x
  3. Step 3: Cross multiply
    1,585.69x = 2,378.63 × 431.44
  4. Step 4: Simplify right side
    1,585.69x = 1,026,231.26
  5. Step 5: Solve for x
    x = 1,026,231.26/1,585.69
  6. Step 6: Final answer
    x = 647.18

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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.