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Finding the Fourth Proportional to 1,164.36, 1,745.40 and 578.88

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Solution

The fourth proportional to 1,164.36, 1,745.40 and 578.88 is: 867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.36 : 1,745.40 = 578.88 : x
  2. Step 2: Convert to fraction form
    1,164.36/1,745.40 = 578.88/x
  3. Step 3: Cross multiply
    1,164.36x = 1,745.40 × 578.88
  4. Step 4: Simplify right side
    1,164.36x = 1,010,377.15
  5. Step 5: Solve for x
    x = 1,010,377.15/1,164.36
  6. Step 6: Final answer
    x = 867.75

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1.5x scale

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.