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Finding the Fourth Proportional to 1,178.12, 1,765.18 and 714.49

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Solution

The fourth proportional to 1,178.12, 1,765.18 and 714.49 is: 1,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.12 : 1,765.18 = 714.49 : x
  2. Step 2: Convert to fraction form
    1,178.12/1,765.18 = 714.49/x
  3. Step 3: Cross multiply
    1,178.12x = 1,765.18 × 714.49
  4. Step 4: Simplify right side
    1,178.12x = 1,261,203.46
  5. Step 5: Solve for x
    x = 1,261,203.46/1,178.12
  6. Step 6: Final answer
    x = 1,070.52

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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.