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Finding the Fourth Proportional to 1,535.15, 2,302.42 and 713.81

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Solution

The fourth proportional to 1,535.15, 2,302.42 and 713.81 is: 1,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.15 : 2,302.42 = 713.81 : x
  2. Step 2: Convert to fraction form
    1,535.15/2,302.42 = 713.81/x
  3. Step 3: Cross multiply
    1,535.15x = 2,302.42 × 713.81
  4. Step 4: Simplify right side
    1,535.15x = 1,643,490.42
  5. Step 5: Solve for x
    x = 1,643,490.42/1,535.15
  6. Step 6: Final answer
    x = 1,070.57

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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.