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Finding the Fourth Proportional to 1,445.08, 2,167.62 and 471.16

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Solution

The fourth proportional to 1,445.08, 2,167.62 and 471.16 is: 706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.08 : 2,167.62 = 471.16 : x
  2. Step 2: Convert to fraction form
    1,445.08/2,167.62 = 471.16/x
  3. Step 3: Cross multiply
    1,445.08x = 2,167.62 × 471.16
  4. Step 4: Simplify right side
    1,445.08x = 1,021,295.84
  5. Step 5: Solve for x
    x = 1,021,295.84/1,445.08
  6. Step 6: Final answer
    x = 706.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.