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Finding the Fourth Proportional to 1,050.98, 1,575.12 and 465.81

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Solution

The fourth proportional to 1,050.98, 1,575.12 and 465.81 is: 698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.98 : 1,575.12 = 465.81 : x
  2. Step 2: Convert to fraction form
    1,050.98/1,575.12 = 465.81/x
  3. Step 3: Cross multiply
    1,050.98x = 1,575.12 × 465.81
  4. Step 4: Simplify right side
    1,050.98x = 733,708.74
  5. Step 5: Solve for x
    x = 733,708.74/1,050.98
  6. Step 6: Final answer
    x = 698.12

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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.