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Finding the Fourth Proportional to 1,559.57, 2,339.43 and 463.94

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Solution

The fourth proportional to 1,559.57, 2,339.43 and 463.94 is: 695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.57 : 2,339.43 = 463.94 : x
  2. Step 2: Convert to fraction form
    1,559.57/2,339.43 = 463.94/x
  3. Step 3: Cross multiply
    1,559.57x = 2,339.43 × 463.94
  4. Step 4: Simplify right side
    1,559.57x = 1,085,353.45
  5. Step 5: Solve for x
    x = 1,085,353.45/1,559.57
  6. Step 6: Final answer
    x = 695.93

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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.