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Finding the Fourth Proportional to 1,142.90, 1,714.53 and 493.64

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Solution

The fourth proportional to 1,142.90, 1,714.53 and 493.64 is: 740.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.90 : 1,714.53 = 493.64 : x
  2. Step 2: Convert to fraction form
    1,142.90/1,714.53 = 493.64/x
  3. Step 3: Cross multiply
    1,142.90x = 1,714.53 × 493.64
  4. Step 4: Simplify right side
    1,142.90x = 846,360.59
  5. Step 5: Solve for x
    x = 846,360.59/1,142.90
  6. Step 6: Final answer
    x = 740.54

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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.