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Finding the Fourth Proportional to 941.24, 1,410.65 and 479.14

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Solution

The fourth proportional to 941.24, 1,410.65 and 479.14 is: 718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.24 : 1,410.65 = 479.14 : x
  2. Step 2: Convert to fraction form
    941.24/1,410.65 = 479.14/x
  3. Step 3: Cross multiply
    941.24x = 1,410.65 × 479.14
  4. Step 4: Simplify right side
    941.24x = 675,894.72
  5. Step 5: Solve for x
    x = 675,894.72/941.24
  6. Step 6: Final answer
    x = 718.09

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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.