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Finding the Fourth Proportional to 1,559.31, 2,339.36 and 463.65

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Solution

The fourth proportional to 1,559.31, 2,339.36 and 463.65 is: 695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.31 : 2,339.36 = 463.65 : x
  2. Step 2: Convert to fraction form
    1,559.31/2,339.36 = 463.65/x
  3. Step 3: Cross multiply
    1,559.31x = 2,339.36 × 463.65
  4. Step 4: Simplify right side
    1,559.31x = 1,084,644.26
  5. Step 5: Solve for x
    x = 1,084,644.26/1,559.31
  6. Step 6: Final answer
    x = 695.59

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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.