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Finding the Fourth Proportional to 877.45, 1,318.00 and 696.11

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Solution

The fourth proportional to 877.45, 1,318.00 and 696.11 is: 1,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.45 : 1,318.00 = 696.11 : x
  2. Step 2: Convert to fraction form
    877.45/1,318.00 = 696.11/x
  3. Step 3: Cross multiply
    877.45x = 1,318.00 × 696.11
  4. Step 4: Simplify right side
    877.45x = 917,474.53
  5. Step 5: Solve for x
    x = 917,474.53/877.45
  6. Step 6: Final answer
    x = 1,045.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.