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Finding the Fourth Proportional to 1,007.09, 1,510.09 and 678.02

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Solution

The fourth proportional to 1,007.09, 1,510.09 and 678.02 is: 1,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.09 : 1,510.09 = 678.02 : x
  2. Step 2: Convert to fraction form
    1,007.09/1,510.09 = 678.02/x
  3. Step 3: Cross multiply
    1,007.09x = 1,510.09 × 678.02
  4. Step 4: Simplify right side
    1,007.09x = 1,023,860.28
  5. Step 5: Solve for x
    x = 1,023,860.28/1,007.09
  6. Step 6: Final answer
    x = 1,016.65

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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.