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Finding the Fourth Proportional to 1,114.70, 1,538.49 and 642.87

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Solution

The fourth proportional to 1,114.70, 1,538.49 and 642.87 is: 887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.70 : 1,538.49 = 642.87 : x
  2. Step 2: Convert to fraction form
    1,114.70/1,538.49 = 642.87/x
  3. Step 3: Cross multiply
    1,114.70x = 1,538.49 × 642.87
  4. Step 4: Simplify right side
    1,114.70x = 989,051.48
  5. Step 5: Solve for x
    x = 989,051.48/1,114.70
  6. Step 6: Final answer
    x = 887.28

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Why These Related Problems?

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