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Finding the Fourth Proportional to 777.23, 1,164.62 and 410.91

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Solution

The fourth proportional to 777.23, 1,164.62 and 410.91 is: 615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.23 : 1,164.62 = 410.91 : x
  2. Step 2: Convert to fraction form
    777.23/1,164.62 = 410.91/x
  3. Step 3: Cross multiply
    777.23x = 1,164.62 × 410.91
  4. Step 4: Simplify right side
    777.23x = 478,551.95
  5. Step 5: Solve for x
    x = 478,551.95/777.23
  6. Step 6: Final answer
    x = 615.72

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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.