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Finding the Fourth Proportional to 926.77, 1,278.51 and 627.91

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Solution

The fourth proportional to 926.77, 1,278.51 and 627.91 is: 866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.77 : 1,278.51 = 627.91 : x
  2. Step 2: Convert to fraction form
    926.77/1,278.51 = 627.91/x
  3. Step 3: Cross multiply
    926.77x = 1,278.51 × 627.91
  4. Step 4: Simplify right side
    926.77x = 802,782.82
  5. Step 5: Solve for x
    x = 802,782.82/926.77
  6. Step 6: Final answer
    x = 866.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.