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Finding the Fourth Proportional to 880.47, 1,214.02 and 714.16

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Solution

The fourth proportional to 880.47, 1,214.02 and 714.16 is: 984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.47 : 1,214.02 = 714.16 : x
  2. Step 2: Convert to fraction form
    880.47/1,214.02 = 714.16/x
  3. Step 3: Cross multiply
    880.47x = 1,214.02 × 714.16
  4. Step 4: Simplify right side
    880.47x = 867,004.52
  5. Step 5: Solve for x
    x = 867,004.52/880.47
  6. Step 6: Final answer
    x = 984.71

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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.