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Finding the Fourth Proportional to 699.95, 1,043.10 and 678.83

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Solution

The fourth proportional to 699.95, 1,043.10 and 678.83 is: 1,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.95 : 1,043.10 = 678.83 : x
  2. Step 2: Convert to fraction form
    699.95/1,043.10 = 678.83/x
  3. Step 3: Cross multiply
    699.95x = 1,043.10 × 678.83
  4. Step 4: Simplify right side
    699.95x = 708,082.36
  5. Step 5: Solve for x
    x = 708,082.36/699.95
  6. Step 6: Final answer
    x = 1,011.61

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