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Finding the Fourth Proportional to 772.61, 1,156.84 and 463.01

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Solution

The fourth proportional to 772.61, 1,156.84 and 463.01 is: 693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.61 : 1,156.84 = 463.01 : x
  2. Step 2: Convert to fraction form
    772.61/1,156.84 = 463.01/x
  3. Step 3: Cross multiply
    772.61x = 1,156.84 × 463.01
  4. Step 4: Simplify right side
    772.61x = 535,621.55
  5. Step 5: Solve for x
    x = 535,621.55/772.61
  6. Step 6: Final answer
    x = 693.27

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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.