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Finding the Fourth Proportional to 1,007.83, 1,504.47 and 935.74

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Solution

The fourth proportional to 1,007.83, 1,504.47 and 935.74 is: 1,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.83 : 1,504.47 = 935.74 : x
  2. Step 2: Convert to fraction form
    1,007.83/1,504.47 = 935.74/x
  3. Step 3: Cross multiply
    1,007.83x = 1,504.47 × 935.74
  4. Step 4: Simplify right side
    1,007.83x = 1,407,792.76
  5. Step 5: Solve for x
    x = 1,407,792.76/1,007.83
  6. Step 6: Final answer
    x = 1,396.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.