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Finding the Fourth Proportional to 1,312.09, 1,811.61 and 870.91

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Solution

The fourth proportional to 1,312.09, 1,811.61 and 870.91 is: 1,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.09 : 1,811.61 = 870.91 : x
  2. Step 2: Convert to fraction form
    1,312.09/1,811.61 = 870.91/x
  3. Step 3: Cross multiply
    1,312.09x = 1,811.61 × 870.91
  4. Step 4: Simplify right side
    1,312.09x = 1,577,749.27
  5. Step 5: Solve for x
    x = 1,577,749.27/1,312.09
  6. Step 6: Final answer
    x = 1,202.47

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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.