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Finding the Fourth Proportional to 1,050.47, 1,576.06 and 465.39

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Solution

The fourth proportional to 1,050.47, 1,576.06 and 465.39 is: 698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.47 : 1,576.06 = 465.39 : x
  2. Step 2: Convert to fraction form
    1,050.47/1,576.06 = 465.39/x
  3. Step 3: Cross multiply
    1,050.47x = 1,576.06 × 465.39
  4. Step 4: Simplify right side
    1,050.47x = 733,487.14
  5. Step 5: Solve for x
    x = 733,487.14/1,050.47
  6. Step 6: Final answer
    x = 698.25

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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.