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Finding the Fourth Proportional to 1,145.10, 1,716.42 and 487.32

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Solution

The fourth proportional to 1,145.10, 1,716.42 and 487.32 is: 730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.10 : 1,716.42 = 487.32 : x
  2. Step 2: Convert to fraction form
    1,145.10/1,716.42 = 487.32/x
  3. Step 3: Cross multiply
    1,145.10x = 1,716.42 × 487.32
  4. Step 4: Simplify right side
    1,145.10x = 836,445.79
  5. Step 5: Solve for x
    x = 836,445.79/1,145.10
  6. Step 6: Final answer
    x = 730.46

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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.