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Finding the Fourth Proportional to 1,357.31, 2,035.99 and 535.58

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Solution

The fourth proportional to 1,357.31, 2,035.99 and 535.58 is: 803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.31 : 2,035.99 = 535.58 : x
  2. Step 2: Convert to fraction form
    1,357.31/2,035.99 = 535.58/x
  3. Step 3: Cross multiply
    1,357.31x = 2,035.99 × 535.58
  4. Step 4: Simplify right side
    1,357.31x = 1,090,433.65
  5. Step 5: Solve for x
    x = 1,090,433.65/1,357.31
  6. Step 6: Final answer
    x = 803.38

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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.