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Finding the Fourth Proportional to 879.89, 1,214.37 and 530.57

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Solution

The fourth proportional to 879.89, 1,214.37 and 530.57 is: 732.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.89 : 1,214.37 = 530.57 : x
  2. Step 2: Convert to fraction form
    879.89/1,214.37 = 530.57/x
  3. Step 3: Cross multiply
    879.89x = 1,214.37 × 530.57
  4. Step 4: Simplify right side
    879.89x = 644,302.22
  5. Step 5: Solve for x
    x = 644,302.22/879.89
  6. Step 6: Final answer
    x = 732.26

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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.