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Finding the Fourth Proportional to 846.76, 1,169.64 and 652.69

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Solution

The fourth proportional to 846.76, 1,169.64 and 652.69 is: 901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.76 : 1,169.64 = 652.69 : x
  2. Step 2: Convert to fraction form
    846.76/1,169.64 = 652.69/x
  3. Step 3: Cross multiply
    846.76x = 1,169.64 × 652.69
  4. Step 4: Simplify right side
    846.76x = 763,412.33
  5. Step 5: Solve for x
    x = 763,412.33/846.76
  6. Step 6: Final answer
    x = 901.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.