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Finding the Fourth Proportional to 1,559.67, 2,339.61 and 463.95

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Solution

The fourth proportional to 1,559.67, 2,339.61 and 463.95 is: 695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.67 : 2,339.61 = 463.95 : x
  2. Step 2: Convert to fraction form
    1,559.67/2,339.61 = 463.95/x
  3. Step 3: Cross multiply
    1,559.67x = 2,339.61 × 463.95
  4. Step 4: Simplify right side
    1,559.67x = 1,085,454.16
  5. Step 5: Solve for x
    x = 1,085,454.16/1,559.67
  6. Step 6: Final answer
    x = 695.95

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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.