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Finding the Fourth Proportional to 926.76, 1,384.30 and 677.76

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Solution

The fourth proportional to 926.76, 1,384.30 and 677.76 is: 1,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.76 : 1,384.30 = 677.76 : x
  2. Step 2: Convert to fraction form
    926.76/1,384.30 = 677.76/x
  3. Step 3: Cross multiply
    926.76x = 1,384.30 × 677.76
  4. Step 4: Simplify right side
    926.76x = 938,223.17
  5. Step 5: Solve for x
    x = 938,223.17/926.76
  6. Step 6: Final answer
    x = 1,012.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.