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Finding the Fourth Proportional to 1,099.51, 1,518.35 and 707.21

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Solution

The fourth proportional to 1,099.51, 1,518.35 and 707.21 is: 976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.51 : 1,518.35 = 707.21 : x
  2. Step 2: Convert to fraction form
    1,099.51/1,518.35 = 707.21/x
  3. Step 3: Cross multiply
    1,099.51x = 1,518.35 × 707.21
  4. Step 4: Simplify right side
    1,099.51x = 1,073,788.77
  5. Step 5: Solve for x
    x = 1,073,788.77/1,099.51
  6. Step 6: Final answer
    x = 976.61

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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.