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Finding the Fourth Proportional to 784.77, 1,177.52 and 400.29

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Solution

The fourth proportional to 784.77, 1,177.52 and 400.29 is: 600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.77 : 1,177.52 = 400.29 : x
  2. Step 2: Convert to fraction form
    784.77/1,177.52 = 400.29/x
  3. Step 3: Cross multiply
    784.77x = 1,177.52 × 400.29
  4. Step 4: Simplify right side
    784.77x = 471,347.48
  5. Step 5: Solve for x
    x = 471,347.48/784.77
  6. Step 6: Final answer
    x = 600.62

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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.