Home / 1,066.24-1,599.36-416.62

Finding the Fourth Proportional to 1,066.24, 1,599.36 and 416.62

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Solution

The fourth proportional to 1,066.24, 1,599.36 and 416.62 is: 624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.24 : 1,599.36 = 416.62 : x
  2. Step 2: Convert to fraction form
    1,066.24/1,599.36 = 416.62/x
  3. Step 3: Cross multiply
    1,066.24x = 1,599.36 × 416.62
  4. Step 4: Simplify right side
    1,066.24x = 666,325.36
  5. Step 5: Solve for x
    x = 666,325.36/1,066.24
  6. Step 6: Final answer
    x = 624.93

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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.