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Finding the Fourth Proportional to 1,559.02, 2,338.68 and 463.70

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Solution

The fourth proportional to 1,559.02, 2,338.68 and 463.70 is: 695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.02 : 2,338.68 = 463.70 : x
  2. Step 2: Convert to fraction form
    1,559.02/2,338.68 = 463.70/x
  3. Step 3: Cross multiply
    1,559.02x = 2,338.68 × 463.70
  4. Step 4: Simplify right side
    1,559.02x = 1,084,445.92
  5. Step 5: Solve for x
    x = 1,084,445.92/1,559.02
  6. Step 6: Final answer
    x = 695.59

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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.