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Finding the Fourth Proportional to 3,065.84, 4,598.78 and 757.34

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Solution

The fourth proportional to 3,065.84, 4,598.78 and 757.34 is: 1,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.84 : 4,598.78 = 757.34 : x
  2. Step 2: Convert to fraction form
    3,065.84/4,598.78 = 757.34/x
  3. Step 3: Cross multiply
    3,065.84x = 4,598.78 × 757.34
  4. Step 4: Simplify right side
    3,065.84x = 3,482,813.26
  5. Step 5: Solve for x
    x = 3,482,813.26/3,065.84
  6. Step 6: Final answer
    x = 1,136.01

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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.