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Finding the Fourth Proportional to 714.44, 1,071.69 and 577.76

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Solution

The fourth proportional to 714.44, 1,071.69 and 577.76 is: 866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.44 : 1,071.69 = 577.76 : x
  2. Step 2: Convert to fraction form
    714.44/1,071.69 = 577.76/x
  3. Step 3: Cross multiply
    714.44x = 1,071.69 × 577.76
  4. Step 4: Simplify right side
    714.44x = 619,174.26
  5. Step 5: Solve for x
    x = 619,174.26/714.44
  6. Step 6: Final answer
    x = 866.66

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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.