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Finding the Fourth Proportional to 1,349.97, 2,024.94 and 376.07

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Solution

The fourth proportional to 1,349.97, 2,024.94 and 376.07 is: 564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.97 : 2,024.94 = 376.07 : x
  2. Step 2: Convert to fraction form
    1,349.97/2,024.94 = 376.07/x
  3. Step 3: Cross multiply
    1,349.97x = 2,024.94 × 376.07
  4. Step 4: Simplify right side
    1,349.97x = 761,510.47
  5. Step 5: Solve for x
    x = 761,510.47/1,349.97
  6. Step 6: Final answer
    x = 564.10

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1.5x scale

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.