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Finding the Fourth Proportional to 1,007.82, 1,509.10 and 776.16

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Solution

The fourth proportional to 1,007.82, 1,509.10 and 776.16 is: 1,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.82 : 1,509.10 = 776.16 : x
  2. Step 2: Convert to fraction form
    1,007.82/1,509.10 = 776.16/x
  3. Step 3: Cross multiply
    1,007.82x = 1,509.10 × 776.16
  4. Step 4: Simplify right side
    1,007.82x = 1,171,301.12
  5. Step 5: Solve for x
    x = 1,171,301.12/1,007.82
  6. Step 6: Final answer
    x = 1,162.21

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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.