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Finding the Fourth Proportional to 1,357.06, 2,035.98 and 535.72

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Solution

The fourth proportional to 1,357.06, 2,035.98 and 535.72 is: 803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.06 : 2,035.98 = 535.72 : x
  2. Step 2: Convert to fraction form
    1,357.06/2,035.98 = 535.72/x
  3. Step 3: Cross multiply
    1,357.06x = 2,035.98 × 535.72
  4. Step 4: Simplify right side
    1,357.06x = 1,090,715.21
  5. Step 5: Solve for x
    x = 1,090,715.21/1,357.06
  6. Step 6: Final answer
    x = 803.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.