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Finding the Fourth Proportional to 1,552.93, 2,326.24 and 770.57

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Solution

The fourth proportional to 1,552.93, 2,326.24 and 770.57 is: 1,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.93 : 2,326.24 = 770.57 : x
  2. Step 2: Convert to fraction form
    1,552.93/2,326.24 = 770.57/x
  3. Step 3: Cross multiply
    1,552.93x = 2,326.24 × 770.57
  4. Step 4: Simplify right side
    1,552.93x = 1,792,530.76
  5. Step 5: Solve for x
    x = 1,792,530.76/1,552.93
  6. Step 6: Final answer
    x = 1,154.29

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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.