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Finding the Fourth Proportional to 1,007.74, 1,509.68 and 776.28

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Solution

The fourth proportional to 1,007.74, 1,509.68 and 776.28 is: 1,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.74 : 1,509.68 = 776.28 : x
  2. Step 2: Convert to fraction form
    1,007.74/1,509.68 = 776.28/x
  3. Step 3: Cross multiply
    1,007.74x = 1,509.68 × 776.28
  4. Step 4: Simplify right side
    1,007.74x = 1,171,934.39
  5. Step 5: Solve for x
    x = 1,171,934.39/1,007.74
  6. Step 6: Final answer
    x = 1,162.93

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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.