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Finding the Fourth Proportional to 1,513.29, 2,269.65 and 473.16

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Solution

The fourth proportional to 1,513.29, 2,269.65 and 473.16 is: 709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.29 : 2,269.65 = 473.16 : x
  2. Step 2: Convert to fraction form
    1,513.29/2,269.65 = 473.16/x
  3. Step 3: Cross multiply
    1,513.29x = 2,269.65 × 473.16
  4. Step 4: Simplify right side
    1,513.29x = 1,073,907.59
  5. Step 5: Solve for x
    x = 1,073,907.59/1,513.29
  6. Step 6: Final answer
    x = 709.65

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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.