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Finding the Fourth Proportional to 1,376.49, 2,065.08 and 452.10

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Solution

The fourth proportional to 1,376.49, 2,065.08 and 452.10 is: 678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.49 : 2,065.08 = 452.10 : x
  2. Step 2: Convert to fraction form
    1,376.49/2,065.08 = 452.10/x
  3. Step 3: Cross multiply
    1,376.49x = 2,065.08 × 452.10
  4. Step 4: Simplify right side
    1,376.49x = 933,622.67
  5. Step 5: Solve for x
    x = 933,622.67/1,376.49
  6. Step 6: Final answer
    x = 678.26

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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.