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Finding the Fourth Proportional to 1,180.12, 1,773.84 and 750.01

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Solution

The fourth proportional to 1,180.12, 1,773.84 and 750.01 is: 1,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.12 : 1,773.84 = 750.01 : x
  2. Step 2: Convert to fraction form
    1,180.12/1,773.84 = 750.01/x
  3. Step 3: Cross multiply
    1,180.12x = 1,773.84 × 750.01
  4. Step 4: Simplify right side
    1,180.12x = 1,330,397.74
  5. Step 5: Solve for x
    x = 1,330,397.74/1,180.12
  6. Step 6: Final answer
    x = 1,127.34

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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.