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Finding the Fourth Proportional to 1,559.55, 2,339.72 and 463.92

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Solution

The fourth proportional to 1,559.55, 2,339.72 and 463.92 is: 696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.55 : 2,339.72 = 463.92 : x
  2. Step 2: Convert to fraction form
    1,559.55/2,339.72 = 463.92/x
  3. Step 3: Cross multiply
    1,559.55x = 2,339.72 × 463.92
  4. Step 4: Simplify right side
    1,559.55x = 1,085,442.90
  5. Step 5: Solve for x
    x = 1,085,442.90/1,559.55
  6. Step 6: Final answer
    x = 696.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.