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Finding the Fourth Proportional to 1,114.91, 1,538.69 and 642.95

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Solution

The fourth proportional to 1,114.91, 1,538.69 and 642.95 is: 887.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.91 : 1,538.69 = 642.95 : x
  2. Step 2: Convert to fraction form
    1,114.91/1,538.69 = 642.95/x
  3. Step 3: Cross multiply
    1,114.91x = 1,538.69 × 642.95
  4. Step 4: Simplify right side
    1,114.91x = 989,300.74
  5. Step 5: Solve for x
    x = 989,300.74/1,114.91
  6. Step 6: Final answer
    x = 887.34

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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.