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Finding the Fourth Proportional to 1,165.02, 1,603.31 and 880.71

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Solution

The fourth proportional to 1,165.02, 1,603.31 and 880.71 is: 1,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.02 : 1,603.31 = 880.71 : x
  2. Step 2: Convert to fraction form
    1,165.02/1,603.31 = 880.71/x
  3. Step 3: Cross multiply
    1,165.02x = 1,603.31 × 880.71
  4. Step 4: Simplify right side
    1,165.02x = 1,412,046.75
  5. Step 5: Solve for x
    x = 1,412,046.75/1,165.02
  6. Step 6: Final answer
    x = 1,212.04

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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.