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Finding the Fourth Proportional to 1,026.65, 1,416.21 and 633.40

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Solution

The fourth proportional to 1,026.65, 1,416.21 and 633.40 is: 873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.65 : 1,416.21 = 633.40 : x
  2. Step 2: Convert to fraction form
    1,026.65/1,416.21 = 633.40/x
  3. Step 3: Cross multiply
    1,026.65x = 1,416.21 × 633.40
  4. Step 4: Simplify right side
    1,026.65x = 897,027.41
  5. Step 5: Solve for x
    x = 897,027.41/1,026.65
  6. Step 6: Final answer
    x = 873.74

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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.