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Finding the Fourth Proportional to 1,018.35, 1,404.54 and 686.25

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Solution

The fourth proportional to 1,018.35, 1,404.54 and 686.25 is: 946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.35 : 1,404.54 = 686.25 : x
  2. Step 2: Convert to fraction form
    1,018.35/1,404.54 = 686.25/x
  3. Step 3: Cross multiply
    1,018.35x = 1,404.54 × 686.25
  4. Step 4: Simplify right side
    1,018.35x = 963,865.58
  5. Step 5: Solve for x
    x = 963,865.58/1,018.35
  6. Step 6: Final answer
    x = 946.50

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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.