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Finding the Fourth Proportional to 1,445.36, 2,167.84 and 472.08

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Solution

The fourth proportional to 1,445.36, 2,167.84 and 472.08 is: 708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.36 : 2,167.84 = 472.08 : x
  2. Step 2: Convert to fraction form
    1,445.36/2,167.84 = 472.08/x
  3. Step 3: Cross multiply
    1,445.36x = 2,167.84 × 472.08
  4. Step 4: Simplify right side
    1,445.36x = 1,023,393.91
  5. Step 5: Solve for x
    x = 1,023,393.91/1,445.36
  6. Step 6: Final answer
    x = 708.05

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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.