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Finding the Fourth Proportional to 1,018.76, 1,405.92 and 599.40

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Solution

The fourth proportional to 1,018.76, 1,405.92 and 599.40 is: 827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.76 : 1,405.92 = 599.40 : x
  2. Step 2: Convert to fraction form
    1,018.76/1,405.92 = 599.40/x
  3. Step 3: Cross multiply
    1,018.76x = 1,405.92 × 599.40
  4. Step 4: Simplify right side
    1,018.76x = 842,708.45
  5. Step 5: Solve for x
    x = 842,708.45/1,018.76
  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.