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Finding the Fourth Proportional to 850.77, 1,269.47 and 714.08

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Solution

The fourth proportional to 850.77, 1,269.47 and 714.08 is: 1,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.77 : 1,269.47 = 714.08 : x
  2. Step 2: Convert to fraction form
    850.77/1,269.47 = 714.08/x
  3. Step 3: Cross multiply
    850.77x = 1,269.47 × 714.08
  4. Step 4: Simplify right side
    850.77x = 906,508.10
  5. Step 5: Solve for x
    x = 906,508.10/850.77
  6. Step 6: Final answer
    x = 1,065.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.