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Finding the Fourth Proportional to 1,007.84, 1,513.74 and 777.80

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Solution

The fourth proportional to 1,007.84, 1,513.74 and 777.80 is: 1,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.84 : 1,513.74 = 777.80 : x
  2. Step 2: Convert to fraction form
    1,007.84/1,513.74 = 777.80/x
  3. Step 3: Cross multiply
    1,007.84x = 1,513.74 × 777.80
  4. Step 4: Simplify right side
    1,007.84x = 1,177,386.97
  5. Step 5: Solve for x
    x = 1,177,386.97/1,007.84
  6. Step 6: Final answer
    x = 1,168.23

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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.