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Finding the Fourth Proportional to 923.67, 1,275 and 550.77

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Solution

The fourth proportional to 923.67, 1,275 and 550.77 is: 760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.67 : 1,275 = 550.77 : x
  2. Step 2: Convert to fraction form
    923.67/1,275 = 550.77/x
  3. Step 3: Cross multiply
    923.67x = 1,275 × 550.77
  4. Step 4: Simplify right side
    923.67x = 702,231.75
  5. Step 5: Solve for x
    x = 702,231.75/923.67
  6. Step 6: Final answer
    x = 760.26

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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.