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Finding the Fourth Proportional to 1,007.69, 1,511.51 and 350.04

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Solution

The fourth proportional to 1,007.69, 1,511.51 and 350.04 is: 525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.69 : 1,511.51 = 350.04 : x
  2. Step 2: Convert to fraction form
    1,007.69/1,511.51 = 350.04/x
  3. Step 3: Cross multiply
    1,007.69x = 1,511.51 × 350.04
  4. Step 4: Simplify right side
    1,007.69x = 529,088.96
  5. Step 5: Solve for x
    x = 529,088.96/1,007.69
  6. Step 6: Final answer
    x = 525.05

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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.