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Finding the Fourth Proportional to 880.44, 1,214.16 and 714.42

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Solution

The fourth proportional to 880.44, 1,214.16 and 714.42 is: 985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.44 : 1,214.16 = 714.42 : x
  2. Step 2: Convert to fraction form
    880.44/1,214.16 = 714.42/x
  3. Step 3: Cross multiply
    880.44x = 1,214.16 × 714.42
  4. Step 4: Simplify right side
    880.44x = 867,420.19
  5. Step 5: Solve for x
    x = 867,420.19/880.44
  6. Step 6: Final answer
    x = 985.21

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1.5x scale

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.