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Finding the Fourth Proportional to 1,452.51, 2,178.93 and 478.70

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Solution

The fourth proportional to 1,452.51, 2,178.93 and 478.70 is: 718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.51 : 2,178.93 = 478.70 : x
  2. Step 2: Convert to fraction form
    1,452.51/2,178.93 = 478.70/x
  3. Step 3: Cross multiply
    1,452.51x = 2,178.93 × 478.70
  4. Step 4: Simplify right side
    1,452.51x = 1,043,042.90
  5. Step 5: Solve for x
    x = 1,043,042.90/1,452.51
  6. Step 6: Final answer
    x = 718.10

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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.