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Finding the Fourth Proportional to 1,093.81, 1,509.50 and 701.57

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Solution

The fourth proportional to 1,093.81, 1,509.50 and 701.57 is: 968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.81 : 1,509.50 = 701.57 : x
  2. Step 2: Convert to fraction form
    1,093.81/1,509.50 = 701.57/x
  3. Step 3: Cross multiply
    1,093.81x = 1,509.50 × 701.57
  4. Step 4: Simplify right side
    1,093.81x = 1,059,019.92
  5. Step 5: Solve for x
    x = 1,059,019.92/1,093.81
  6. Step 6: Final answer
    x = 968.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.