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Finding the Fourth Proportional to 1,061.38, 1,465.10 and 619.42

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Solution

The fourth proportional to 1,061.38, 1,465.10 and 619.42 is: 855.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.38 : 1,465.10 = 619.42 : x
  2. Step 2: Convert to fraction form
    1,061.38/1,465.10 = 619.42/x
  3. Step 3: Cross multiply
    1,061.38x = 1,465.10 × 619.42
  4. Step 4: Simplify right side
    1,061.38x = 907,512.24
  5. Step 5: Solve for x
    x = 907,512.24/1,061.38
  6. Step 6: Final answer
    x = 855.03

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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.