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Finding the Fourth Proportional to 772.01, 1,157.47 and 360.90

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Solution

The fourth proportional to 772.01, 1,157.47 and 360.90 is: 541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.01 : 1,157.47 = 360.90 : x
  2. Step 2: Convert to fraction form
    772.01/1,157.47 = 360.90/x
  3. Step 3: Cross multiply
    772.01x = 1,157.47 × 360.90
  4. Step 4: Simplify right side
    772.01x = 417,730.92
  5. Step 5: Solve for x
    x = 417,730.92/772.01
  6. Step 6: Final answer
    x = 541.10

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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.