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Finding the Fourth Proportional to 1,185.79, 1,778.69 and 416.11

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Solution

The fourth proportional to 1,185.79, 1,778.69 and 416.11 is: 624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.79 : 1,778.69 = 416.11 : x
  2. Step 2: Convert to fraction form
    1,185.79/1,778.69 = 416.11/x
  3. Step 3: Cross multiply
    1,185.79x = 1,778.69 × 416.11
  4. Step 4: Simplify right side
    1,185.79x = 740,130.70
  5. Step 5: Solve for x
    x = 740,130.70/1,185.79
  6. Step 6: Final answer
    x = 624.17

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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.