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Finding the Fourth Proportional to 1,134.02, 1,701.99 and 907.46

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Solution

The fourth proportional to 1,134.02, 1,701.99 and 907.46 is: 1,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.02 : 1,701.99 = 907.46 : x
  2. Step 2: Convert to fraction form
    1,134.02/1,701.99 = 907.46/x
  3. Step 3: Cross multiply
    1,134.02x = 1,701.99 × 907.46
  4. Step 4: Simplify right side
    1,134.02x = 1,544,487.85
  5. Step 5: Solve for x
    x = 1,544,487.85/1,134.02
  6. Step 6: Final answer
    x = 1,361.96

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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.