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Finding the Fourth Proportional to 1,552.58, 2,329.37 and 627.66

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Solution

The fourth proportional to 1,552.58, 2,329.37 and 627.66 is: 941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.58 : 2,329.37 = 627.66 : x
  2. Step 2: Convert to fraction form
    1,552.58/2,329.37 = 627.66/x
  3. Step 3: Cross multiply
    1,552.58x = 2,329.37 × 627.66
  4. Step 4: Simplify right side
    1,552.58x = 1,462,052.37
  5. Step 5: Solve for x
    x = 1,462,052.37/1,552.58
  6. Step 6: Final answer
    x = 941.69

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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.