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Finding the Fourth Proportional to 881.88, 1,318.93 and 785.02

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Solution

The fourth proportional to 881.88, 1,318.93 and 785.02 is: 1,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.88 : 1,318.93 = 785.02 : x
  2. Step 2: Convert to fraction form
    881.88/1,318.93 = 785.02/x
  3. Step 3: Cross multiply
    881.88x = 1,318.93 × 785.02
  4. Step 4: Simplify right side
    881.88x = 1,035,386.43
  5. Step 5: Solve for x
    x = 1,035,386.43/881.88
  6. Step 6: Final answer
    x = 1,174.07

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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.