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Finding the Fourth Proportional to 1,127.34, 1,688.45 and 779.10

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Solution

The fourth proportional to 1,127.34, 1,688.45 and 779.10 is: 1,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.34 : 1,688.45 = 779.10 : x
  2. Step 2: Convert to fraction form
    1,127.34/1,688.45 = 779.10/x
  3. Step 3: Cross multiply
    1,127.34x = 1,688.45 × 779.10
  4. Step 4: Simplify right side
    1,127.34x = 1,315,469.45
  5. Step 5: Solve for x
    x = 1,315,469.45/1,127.34
  6. Step 6: Final answer
    x = 1,166.88

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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.