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Finding the Fourth Proportional to 1,050.02, 1,575.49 and 502.13

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Solution

The fourth proportional to 1,050.02, 1,575.49 and 502.13 is: 753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.02 : 1,575.49 = 502.13 : x
  2. Step 2: Convert to fraction form
    1,050.02/1,575.49 = 502.13/x
  3. Step 3: Cross multiply
    1,050.02x = 1,575.49 × 502.13
  4. Step 4: Simplify right side
    1,050.02x = 791,100.79
  5. Step 5: Solve for x
    x = 791,100.79/1,050.02
  6. Step 6: Final answer
    x = 753.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.