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Finding the Fourth Proportional to 1,018.85, 1,406.16 and 599.35

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Solution

The fourth proportional to 1,018.85, 1,406.16 and 599.35 is: 827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.85 : 1,406.16 = 599.35 : x
  2. Step 2: Convert to fraction form
    1,018.85/1,406.16 = 599.35/x
  3. Step 3: Cross multiply
    1,018.85x = 1,406.16 × 599.35
  4. Step 4: Simplify right side
    1,018.85x = 842,781.12
  5. Step 5: Solve for x
    x = 842,781.12/1,018.85
  6. Step 6: Final answer
    x = 827.19

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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.