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Finding the Fourth Proportional to 1,045.89, 1,440.82 and 880.11

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Solution

The fourth proportional to 1,045.89, 1,440.82 and 880.11 is: 1,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.89 : 1,440.82 = 880.11 : x
  2. Step 2: Convert to fraction form
    1,045.89/1,440.82 = 880.11/x
  3. Step 3: Cross multiply
    1,045.89x = 1,440.82 × 880.11
  4. Step 4: Simplify right side
    1,045.89x = 1,268,080.09
  5. Step 5: Solve for x
    x = 1,268,080.09/1,045.89
  6. Step 6: Final answer
    x = 1,212.44

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Double scale
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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.