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Finding the Fourth Proportional to 880.28, 1,214.64 and 530.98

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Solution

The fourth proportional to 880.28, 1,214.64 and 530.98 is: 732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.28 : 1,214.64 = 530.98 : x
  2. Step 2: Convert to fraction form
    880.28/1,214.64 = 530.98/x
  3. Step 3: Cross multiply
    880.28x = 1,214.64 × 530.98
  4. Step 4: Simplify right side
    880.28x = 644,949.55
  5. Step 5: Solve for x
    x = 644,949.55/880.28
  6. Step 6: Final answer
    x = 732.66

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