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Finding the Fourth Proportional to 1,210.81, 1,814.72 and 862.25

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Solution

The fourth proportional to 1,210.81, 1,814.72 and 862.25 is: 1,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.81 : 1,814.72 = 862.25 : x
  2. Step 2: Convert to fraction form
    1,210.81/1,814.72 = 862.25/x
  3. Step 3: Cross multiply
    1,210.81x = 1,814.72 × 862.25
  4. Step 4: Simplify right side
    1,210.81x = 1,564,742.32
  5. Step 5: Solve for x
    x = 1,564,742.32/1,210.81
  6. Step 6: Final answer
    x = 1,292.31

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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.