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Finding the Fourth Proportional to 879.82, 1,214.19 and 530.50

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Solution

The fourth proportional to 879.82, 1,214.19 and 530.50 is: 732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.82 : 1,214.19 = 530.50 : x
  2. Step 2: Convert to fraction form
    879.82/1,214.19 = 530.50/x
  3. Step 3: Cross multiply
    879.82x = 1,214.19 × 530.50
  4. Step 4: Simplify right side
    879.82x = 644,127.80
  5. Step 5: Solve for x
    x = 644,127.80/879.82
  6. Step 6: Final answer
    x = 732.11

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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.