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Finding the Fourth Proportional to 1,050.24, 1,575.46 and 400.98

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Solution

The fourth proportional to 1,050.24, 1,575.46 and 400.98 is: 601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.24 : 1,575.46 = 400.98 : x
  2. Step 2: Convert to fraction form
    1,050.24/1,575.46 = 400.98/x
  3. Step 3: Cross multiply
    1,050.24x = 1,575.46 × 400.98
  4. Step 4: Simplify right side
    1,050.24x = 631,727.95
  5. Step 5: Solve for x
    x = 631,727.95/1,050.24
  6. Step 6: Final answer
    x = 601.51

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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.