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Finding the Fourth Proportional to 1,559.76, 2,339.52 and 464.10

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Solution

The fourth proportional to 1,559.76, 2,339.52 and 464.10 is: 696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.76 : 2,339.52 = 464.10 : x
  2. Step 2: Convert to fraction form
    1,559.76/2,339.52 = 464.10/x
  3. Step 3: Cross multiply
    1,559.76x = 2,339.52 × 464.10
  4. Step 4: Simplify right side
    1,559.76x = 1,085,771.23
  5. Step 5: Solve for x
    x = 1,085,771.23/1,559.76
  6. Step 6: Final answer
    x = 696.11

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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.