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Finding the Fourth Proportional to 926.19, 1,278.26 and 527.95

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Solution

The fourth proportional to 926.19, 1,278.26 and 527.95 is: 728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.19 : 1,278.26 = 527.95 : x
  2. Step 2: Convert to fraction form
    926.19/1,278.26 = 527.95/x
  3. Step 3: Cross multiply
    926.19x = 1,278.26 × 527.95
  4. Step 4: Simplify right side
    926.19x = 674,857.37
  5. Step 5: Solve for x
    x = 674,857.37/926.19
  6. Step 6: Final answer
    x = 728.64

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