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Finding the Fourth Proportional to 698.01, 1,046.88 and 259.53

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Solution

The fourth proportional to 698.01, 1,046.88 and 259.53 is: 389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.01 : 1,046.88 = 259.53 : x
  2. Step 2: Convert to fraction form
    698.01/1,046.88 = 259.53/x
  3. Step 3: Cross multiply
    698.01x = 1,046.88 × 259.53
  4. Step 4: Simplify right side
    698.01x = 271,696.77
  5. Step 5: Solve for x
    x = 271,696.77/698.01
  6. Step 6: Final answer
    x = 389.24

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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.