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Finding the Fourth Proportional to 1,445.19, 2,167.54 and 471.16

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Solution

The fourth proportional to 1,445.19, 2,167.54 and 471.16 is: 706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.19 : 2,167.54 = 471.16 : x
  2. Step 2: Convert to fraction form
    1,445.19/2,167.54 = 471.16/x
  3. Step 3: Cross multiply
    1,445.19x = 2,167.54 × 471.16
  4. Step 4: Simplify right side
    1,445.19x = 1,021,259.68
  5. Step 5: Solve for x
    x = 1,021,259.68/1,445.19
  6. Step 6: Final answer
    x = 706.66

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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.