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Finding the Fourth Proportional to 1,018.14, 1,404.57 and 686.44

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Solution

The fourth proportional to 1,018.14, 1,404.57 and 686.44 is: 946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.14 : 1,404.57 = 686.44 : x
  2. Step 2: Convert to fraction form
    1,018.14/1,404.57 = 686.44/x
  3. Step 3: Cross multiply
    1,018.14x = 1,404.57 × 686.44
  4. Step 4: Simplify right side
    1,018.14x = 964,157.36
  5. Step 5: Solve for x
    x = 964,157.36/1,018.14
  6. Step 6: Final answer
    x = 946.98

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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.