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Finding the Fourth Proportional to 698.77, 1,047.65 and 287.42

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Solution

The fourth proportional to 698.77, 1,047.65 and 287.42 is: 430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.77 : 1,047.65 = 287.42 : x
  2. Step 2: Convert to fraction form
    698.77/1,047.65 = 287.42/x
  3. Step 3: Cross multiply
    698.77x = 1,047.65 × 287.42
  4. Step 4: Simplify right side
    698.77x = 301,116.75
  5. Step 5: Solve for x
    x = 301,116.75/698.77
  6. Step 6: Final answer
    x = 430.93

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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.