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Finding the Fourth Proportional to 1,018.84, 1,405.13 and 686.83

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Solution

The fourth proportional to 1,018.84, 1,405.13 and 686.83 is: 947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.84 : 1,405.13 = 686.83 : x
  2. Step 2: Convert to fraction form
    1,018.84/1,405.13 = 686.83/x
  3. Step 3: Cross multiply
    1,018.84x = 1,405.13 × 686.83
  4. Step 4: Simplify right side
    1,018.84x = 965,087.15
  5. Step 5: Solve for x
    x = 965,087.15/1,018.84
  6. Step 6: Final answer
    x = 947.24

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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.