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Finding the Fourth Proportional to 1,325.97, 1,830.69 and 854.10

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Solution

The fourth proportional to 1,325.97, 1,830.69 and 854.10 is: 1,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.97 : 1,830.69 = 854.10 : x
  2. Step 2: Convert to fraction form
    1,325.97/1,830.69 = 854.10/x
  3. Step 3: Cross multiply
    1,325.97x = 1,830.69 × 854.10
  4. Step 4: Simplify right side
    1,325.97x = 1,563,592.33
  5. Step 5: Solve for x
    x = 1,563,592.33/1,325.97
  6. Step 6: Final answer
    x = 1,179.21

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1.5x scale

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.