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Finding the Fourth Proportional to 777.62, 1,073.02 and 446.02

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Solution

The fourth proportional to 777.62, 1,073.02 and 446.02 is: 615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.62 : 1,073.02 = 446.02 : x
  2. Step 2: Convert to fraction form
    777.62/1,073.02 = 446.02/x
  3. Step 3: Cross multiply
    777.62x = 1,073.02 × 446.02
  4. Step 4: Simplify right side
    777.62x = 478,588.38
  5. Step 5: Solve for x
    x = 478,588.38/777.62
  6. Step 6: Final answer
    x = 615.45

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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.