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Finding the Fourth Proportional to 1,050.59, 1,573.67 and 502.22

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Solution

The fourth proportional to 1,050.59, 1,573.67 and 502.22 is: 752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.59 : 1,573.67 = 502.22 : x
  2. Step 2: Convert to fraction form
    1,050.59/1,573.67 = 502.22/x
  3. Step 3: Cross multiply
    1,050.59x = 1,573.67 × 502.22
  4. Step 4: Simplify right side
    1,050.59x = 790,333.74
  5. Step 5: Solve for x
    x = 790,333.74/1,050.59
  6. Step 6: Final answer
    x = 752.27

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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.