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Finding the Fourth Proportional to 805.64, 1,214.49 and 752.06

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Solution

The fourth proportional to 805.64, 1,214.49 and 752.06 is: 1,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.64 : 1,214.49 = 752.06 : x
  2. Step 2: Convert to fraction form
    805.64/1,214.49 = 752.06/x
  3. Step 3: Cross multiply
    805.64x = 1,214.49 × 752.06
  4. Step 4: Simplify right side
    805.64x = 913,369.35
  5. Step 5: Solve for x
    x = 913,369.35/805.64
  6. Step 6: Final answer
    x = 1,133.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.