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Finding the Fourth Proportional to 1,559.56, 2,339.46 and 463.96

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Solution

The fourth proportional to 1,559.56, 2,339.46 and 463.96 is: 695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.56 : 2,339.46 = 463.96 : x
  2. Step 2: Convert to fraction form
    1,559.56/2,339.46 = 463.96/x
  3. Step 3: Cross multiply
    1,559.56x = 2,339.46 × 463.96
  4. Step 4: Simplify right side
    1,559.56x = 1,085,415.86
  5. Step 5: Solve for x
    x = 1,085,415.86/1,559.56
  6. Step 6: Final answer
    x = 695.98

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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.