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Finding the Fourth Proportional to 1,310.11, 1,965.54 and 529.71

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Solution

The fourth proportional to 1,310.11, 1,965.54 and 529.71 is: 794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.11 : 1,965.54 = 529.71 : x
  2. Step 2: Convert to fraction form
    1,310.11/1,965.54 = 529.71/x
  3. Step 3: Cross multiply
    1,310.11x = 1,965.54 × 529.71
  4. Step 4: Simplify right side
    1,310.11x = 1,041,160.81
  5. Step 5: Solve for x
    x = 1,041,160.81/1,310.11
  6. Step 6: Final answer
    x = 794.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.