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Finding the Fourth Proportional to 1,135.95, 1,703.81 and 314.14

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Solution

The fourth proportional to 1,135.95, 1,703.81 and 314.14 is: 471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.95 : 1,703.81 = 314.14 : x
  2. Step 2: Convert to fraction form
    1,135.95/1,703.81 = 314.14/x
  3. Step 3: Cross multiply
    1,135.95x = 1,703.81 × 314.14
  4. Step 4: Simplify right side
    1,135.95x = 535,234.87
  5. Step 5: Solve for x
    x = 535,234.87/1,135.95
  6. Step 6: Final answer
    x = 471.18

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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.