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Finding the Fourth Proportional to 879.75, 1,214.10 and 530.46

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Solution

The fourth proportional to 879.75, 1,214.10 and 530.46 is: 732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.75 : 1,214.10 = 530.46 : x
  2. Step 2: Convert to fraction form
    879.75/1,214.10 = 530.46/x
  3. Step 3: Cross multiply
    879.75x = 1,214.10 × 530.46
  4. Step 4: Simplify right side
    879.75x = 644,031.49
  5. Step 5: Solve for x
    x = 644,031.49/879.75
  6. Step 6: Final answer
    x = 732.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.