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Finding the Fourth Proportional to 1,007.14, 1,510.07 and 596.41

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Solution

The fourth proportional to 1,007.14, 1,510.07 and 596.41 is: 894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.14 : 1,510.07 = 596.41 : x
  2. Step 2: Convert to fraction form
    1,007.14/1,510.07 = 596.41/x
  3. Step 3: Cross multiply
    1,007.14x = 1,510.07 × 596.41
  4. Step 4: Simplify right side
    1,007.14x = 900,620.85
  5. Step 5: Solve for x
    x = 900,620.85/1,007.14
  6. Step 6: Final answer
    x = 894.24

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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.