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Finding the Fourth Proportional to 1,007.59, 1,390.41 and 614.53

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Solution

The fourth proportional to 1,007.59, 1,390.41 and 614.53 is: 848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.59 : 1,390.41 = 614.53 : x
  2. Step 2: Convert to fraction form
    1,007.59/1,390.41 = 614.53/x
  3. Step 3: Cross multiply
    1,007.59x = 1,390.41 × 614.53
  4. Step 4: Simplify right side
    1,007.59x = 854,448.66
  5. Step 5: Solve for x
    x = 854,448.66/1,007.59
  6. Step 6: Final answer
    x = 848.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.