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Finding the Fourth Proportional to 926.63, 1,278.14 and 594.53

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Solution

The fourth proportional to 926.63, 1,278.14 and 594.53 is: 820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.63 : 1,278.14 = 594.53 : x
  2. Step 2: Convert to fraction form
    926.63/1,278.14 = 594.53/x
  3. Step 3: Cross multiply
    926.63x = 1,278.14 × 594.53
  4. Step 4: Simplify right side
    926.63x = 759,883.21
  5. Step 5: Solve for x
    x = 759,883.21/926.63
  6. Step 6: Final answer
    x = 820.05

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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.