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Finding the Fourth Proportional to 1,176.48, 1,764.72 and 714.42

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Solution

The fourth proportional to 1,176.48, 1,764.72 and 714.42 is: 1,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.48 : 1,764.72 = 714.42 : x
  2. Step 2: Convert to fraction form
    1,176.48/1,764.72 = 714.42/x
  3. Step 3: Cross multiply
    1,176.48x = 1,764.72 × 714.42
  4. Step 4: Simplify right side
    1,176.48x = 1,260,751.26
  5. Step 5: Solve for x
    x = 1,260,751.26/1,176.48
  6. Step 6: Final answer
    x = 1,071.63

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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.