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Finding the Fourth Proportional to 880.46, 1,214.43 and 530.54

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Solution

The fourth proportional to 880.46, 1,214.43 and 530.54 is: 731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.46 : 1,214.43 = 530.54 : x
  2. Step 2: Convert to fraction form
    880.46/1,214.43 = 530.54/x
  3. Step 3: Cross multiply
    880.46x = 1,214.43 × 530.54
  4. Step 4: Simplify right side
    880.46x = 644,303.69
  5. Step 5: Solve for x
    x = 644,303.69/880.46
  6. Step 6: Final answer
    x = 731.78

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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.