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Finding the Fourth Proportional to 876.81, 1,210 and 483.83

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Solution

The fourth proportional to 876.81, 1,210 and 483.83 is: 667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.81 : 1,210 = 483.83 : x
  2. Step 2: Convert to fraction form
    876.81/1,210 = 483.83/x
  3. Step 3: Cross multiply
    876.81x = 1,210 × 483.83
  4. Step 4: Simplify right side
    876.81x = 585,434.30
  5. Step 5: Solve for x
    x = 585,434.30/876.81
  6. Step 6: Final answer
    x = 667.69

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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.