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Finding the Fourth Proportional to 1,285.84, 1,929.38 and 891.13

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Solution

The fourth proportional to 1,285.84, 1,929.38 and 891.13 is: 1,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.84 : 1,929.38 = 891.13 : x
  2. Step 2: Convert to fraction form
    1,285.84/1,929.38 = 891.13/x
  3. Step 3: Cross multiply
    1,285.84x = 1,929.38 × 891.13
  4. Step 4: Simplify right side
    1,285.84x = 1,719,328.40
  5. Step 5: Solve for x
    x = 1,719,328.40/1,285.84
  6. Step 6: Final answer
    x = 1,337.12

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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.