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Finding the Fourth Proportional to 1,018.74, 1,406.25 and 625.70

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Solution

The fourth proportional to 1,018.74, 1,406.25 and 625.70 is: 863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.74 : 1,406.25 = 625.70 : x
  2. Step 2: Convert to fraction form
    1,018.74/1,406.25 = 625.70/x
  3. Step 3: Cross multiply
    1,018.74x = 1,406.25 × 625.70
  4. Step 4: Simplify right side
    1,018.74x = 879,883.59
  5. Step 5: Solve for x
    x = 879,883.59/1,018.74
  6. Step 6: Final answer
    x = 863.70

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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.