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Finding the Fourth Proportional to 777.74, 1,165.19 and 469.67

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Solution

The fourth proportional to 777.74, 1,165.19 and 469.67 is: 703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.74 : 1,165.19 = 469.67 : x
  2. Step 2: Convert to fraction form
    777.74/1,165.19 = 469.67/x
  3. Step 3: Cross multiply
    777.74x = 1,165.19 × 469.67
  4. Step 4: Simplify right side
    777.74x = 547,246.61
  5. Step 5: Solve for x
    x = 547,246.61/777.74
  6. Step 6: Final answer
    x = 703.64

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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.