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Finding the Fourth Proportional to 1,445.24, 2,168.08 and 714.84

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Solution

The fourth proportional to 1,445.24, 2,168.08 and 714.84 is: 1,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.24 : 2,168.08 = 714.84 : x
  2. Step 2: Convert to fraction form
    1,445.24/2,168.08 = 714.84/x
  3. Step 3: Cross multiply
    1,445.24x = 2,168.08 × 714.84
  4. Step 4: Simplify right side
    1,445.24x = 1,549,830.31
  5. Step 5: Solve for x
    x = 1,549,830.31/1,445.24
  6. Step 6: Final answer
    x = 1,072.37

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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.