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Finding the Fourth Proportional to 953.88, 1,431.54 and 698.04

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Solution

The fourth proportional to 953.88, 1,431.54 and 698.04 is: 1,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.88 : 1,431.54 = 698.04 : x
  2. Step 2: Convert to fraction form
    953.88/1,431.54 = 698.04/x
  3. Step 3: Cross multiply
    953.88x = 1,431.54 × 698.04
  4. Step 4: Simplify right side
    953.88x = 999,272.18
  5. Step 5: Solve for x
    x = 999,272.18/953.88
  6. Step 6: Final answer
    x = 1,047.59

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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.