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Finding the Fourth Proportional to 782.63, 1,173.94 and 457.76

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Solution

The fourth proportional to 782.63, 1,173.94 and 457.76 is: 686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.63 : 1,173.94 = 457.76 : x
  2. Step 2: Convert to fraction form
    782.63/1,173.94 = 457.76/x
  3. Step 3: Cross multiply
    782.63x = 1,173.94 × 457.76
  4. Step 4: Simplify right side
    782.63x = 537,382.77
  5. Step 5: Solve for x
    x = 537,382.77/782.63
  6. Step 6: Final answer
    x = 686.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.