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Finding the Fourth Proportional to 1,050.13, 1,574.08 and 501.56

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Solution

The fourth proportional to 1,050.13, 1,574.08 and 501.56 is: 751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.13 : 1,574.08 = 501.56 : x
  2. Step 2: Convert to fraction form
    1,050.13/1,574.08 = 501.56/x
  3. Step 3: Cross multiply
    1,050.13x = 1,574.08 × 501.56
  4. Step 4: Simplify right side
    1,050.13x = 789,495.56
  5. Step 5: Solve for x
    x = 789,495.56/1,050.13
  6. Step 6: Final answer
    x = 751.81

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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.