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Finding the Fourth Proportional to 697.84, 1,046.64 and 253.06

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Solution

The fourth proportional to 697.84, 1,046.64 and 253.06 is: 379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.84 : 1,046.64 = 253.06 : x
  2. Step 2: Convert to fraction form
    697.84/1,046.64 = 253.06/x
  3. Step 3: Cross multiply
    697.84x = 1,046.64 × 253.06
  4. Step 4: Simplify right side
    697.84x = 264,862.72
  5. Step 5: Solve for x
    x = 264,862.72/697.84
  6. Step 6: Final answer
    x = 379.55

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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.