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Finding the Fourth Proportional to 864.98, 1,298 and 378.06

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Solution

The fourth proportional to 864.98, 1,298 and 378.06 is: 567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.98 : 1,298 = 378.06 : x
  2. Step 2: Convert to fraction form
    864.98/1,298 = 378.06/x
  3. Step 3: Cross multiply
    864.98x = 1,298 × 378.06
  4. Step 4: Simplify right side
    864.98x = 490,721.88
  5. Step 5: Solve for x
    x = 490,721.88/864.98
  6. Step 6: Final answer
    x = 567.32

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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.