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Finding the Fourth Proportional to 1,019.74, 1,407.08 and 600.06

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Solution

The fourth proportional to 1,019.74, 1,407.08 and 600.06 is: 827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.74 : 1,407.08 = 600.06 : x
  2. Step 2: Convert to fraction form
    1,019.74/1,407.08 = 600.06/x
  3. Step 3: Cross multiply
    1,019.74x = 1,407.08 × 600.06
  4. Step 4: Simplify right side
    1,019.74x = 844,332.42
  5. Step 5: Solve for x
    x = 844,332.42/1,019.74
  6. Step 6: Final answer
    x = 827.99

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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.