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Finding the Fourth Proportional to 740.45, 1,109.77 and 277.74

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Solution

The fourth proportional to 740.45, 1,109.77 and 277.74 is: 416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.45 : 1,109.77 = 277.74 : x
  2. Step 2: Convert to fraction form
    740.45/1,109.77 = 277.74/x
  3. Step 3: Cross multiply
    740.45x = 1,109.77 × 277.74
  4. Step 4: Simplify right side
    740.45x = 308,226.83
  5. Step 5: Solve for x
    x = 308,226.83/740.45
  6. Step 6: Final answer
    x = 416.27

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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.