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Finding the Fourth Proportional to 774.16, 1,160.93 and 499.77

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Solution

The fourth proportional to 774.16, 1,160.93 and 499.77 is: 749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.16 : 1,160.93 = 499.77 : x
  2. Step 2: Convert to fraction form
    774.16/1,160.93 = 499.77/x
  3. Step 3: Cross multiply
    774.16x = 1,160.93 × 499.77
  4. Step 4: Simplify right side
    774.16x = 580,199.24
  5. Step 5: Solve for x
    x = 580,199.24/774.16
  6. Step 6: Final answer
    x = 749.46

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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.