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Finding the Fourth Proportional to 1,341.60, 2,012.54 and 464.16

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Solution

The fourth proportional to 1,341.60, 2,012.54 and 464.16 is: 696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.60 : 2,012.54 = 464.16 : x
  2. Step 2: Convert to fraction form
    1,341.60/2,012.54 = 464.16/x
  3. Step 3: Cross multiply
    1,341.60x = 2,012.54 × 464.16
  4. Step 4: Simplify right side
    1,341.60x = 934,138.25
  5. Step 5: Solve for x
    x = 934,138.25/1,341.60
  6. Step 6: Final answer
    x = 696.29

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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.