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Finding the Fourth Proportional to 776.77, 1,164.08 and 603.63

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Solution

The fourth proportional to 776.77, 1,164.08 and 603.63 is: 904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.77 : 1,164.08 = 603.63 : x
  2. Step 2: Convert to fraction form
    776.77/1,164.08 = 603.63/x
  3. Step 3: Cross multiply
    776.77x = 1,164.08 × 603.63
  4. Step 4: Simplify right side
    776.77x = 702,673.61
  5. Step 5: Solve for x
    x = 702,673.61/776.77
  6. Step 6: Final answer
    x = 904.61

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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.