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Finding the Fourth Proportional to 777.70, 1,166.68 and 387.72

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Solution

The fourth proportional to 777.70, 1,166.68 and 387.72 is: 581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.70 : 1,166.68 = 387.72 : x
  2. Step 2: Convert to fraction form
    777.70/1,166.68 = 387.72/x
  3. Step 3: Cross multiply
    777.70x = 1,166.68 × 387.72
  4. Step 4: Simplify right side
    777.70x = 452,345.17
  5. Step 5: Solve for x
    x = 452,345.17/777.70
  6. Step 6: Final answer
    x = 581.64

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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.