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Finding the Fourth Proportional to 1,050.43, 1,575.27 and 347.51

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Solution

The fourth proportional to 1,050.43, 1,575.27 and 347.51 is: 521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.43 : 1,575.27 = 347.51 : x
  2. Step 2: Convert to fraction form
    1,050.43/1,575.27 = 347.51/x
  3. Step 3: Cross multiply
    1,050.43x = 1,575.27 × 347.51
  4. Step 4: Simplify right side
    1,050.43x = 547,416.18
  5. Step 5: Solve for x
    x = 547,416.18/1,050.43
  6. Step 6: Final answer
    x = 521.14

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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.