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Finding the Fourth Proportional to 1,210.87, 1,670.22 and 713.09

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Solution

The fourth proportional to 1,210.87, 1,670.22 and 713.09 is: 983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.87 : 1,670.22 = 713.09 : x
  2. Step 2: Convert to fraction form
    1,210.87/1,670.22 = 713.09/x
  3. Step 3: Cross multiply
    1,210.87x = 1,670.22 × 713.09
  4. Step 4: Simplify right side
    1,210.87x = 1,191,017.18
  5. Step 5: Solve for x
    x = 1,191,017.18/1,210.87
  6. Step 6: Final answer
    x = 983.60

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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.