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Finding the Fourth Proportional to 940.18, 1,296.90 and 566.93

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Solution

The fourth proportional to 940.18, 1,296.90 and 566.93 is: 782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.18 : 1,296.90 = 566.93 : x
  2. Step 2: Convert to fraction form
    940.18/1,296.90 = 566.93/x
  3. Step 3: Cross multiply
    940.18x = 1,296.90 × 566.93
  4. Step 4: Simplify right side
    940.18x = 735,251.52
  5. Step 5: Solve for x
    x = 735,251.52/940.18
  6. Step 6: Final answer
    x = 782.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.