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Finding the Fourth Proportional to 1,008.16, 1,513.07 and 891.35

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Solution

The fourth proportional to 1,008.16, 1,513.07 and 891.35 is: 1,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.16 : 1,513.07 = 891.35 : x
  2. Step 2: Convert to fraction form
    1,008.16/1,513.07 = 891.35/x
  3. Step 3: Cross multiply
    1,008.16x = 1,513.07 × 891.35
  4. Step 4: Simplify right side
    1,008.16x = 1,348,671.94
  5. Step 5: Solve for x
    x = 1,348,671.94/1,008.16
  6. Step 6: Final answer
    x = 1,337.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.