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Finding the Fourth Proportional to 810.42, 1,117.31 and 677.72

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Solution

The fourth proportional to 810.42, 1,117.31 and 677.72 is: 934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.42 : 1,117.31 = 677.72 : x
  2. Step 2: Convert to fraction form
    810.42/1,117.31 = 677.72/x
  3. Step 3: Cross multiply
    810.42x = 1,117.31 × 677.72
  4. Step 4: Simplify right side
    810.42x = 757,214.36
  5. Step 5: Solve for x
    x = 757,214.36/810.42
  6. Step 6: Final answer
    x = 934.35

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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.