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Finding the Fourth Proportional to 1,061.92, 1,465.38 and 619.75

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Solution

The fourth proportional to 1,061.92, 1,465.38 and 619.75 is: 855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.92 : 1,465.38 = 619.75 : x
  2. Step 2: Convert to fraction form
    1,061.92/1,465.38 = 619.75/x
  3. Step 3: Cross multiply
    1,061.92x = 1,465.38 × 619.75
  4. Step 4: Simplify right side
    1,061.92x = 908,169.26
  5. Step 5: Solve for x
    x = 908,169.26/1,061.92
  6. Step 6: Final answer
    x = 855.21

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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.