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Finding the Fourth Proportional to 698.83, 1,047.84 and 288.25

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Solution

The fourth proportional to 698.83, 1,047.84 and 288.25 is: 432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.83 : 1,047.84 = 288.25 : x
  2. Step 2: Convert to fraction form
    698.83/1,047.84 = 288.25/x
  3. Step 3: Cross multiply
    698.83x = 1,047.84 × 288.25
  4. Step 4: Simplify right side
    698.83x = 302,037.26
  5. Step 5: Solve for x
    x = 302,037.26/698.83
  6. Step 6: Final answer
    x = 432.21

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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.