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Finding the Fourth Proportional to 1,049.05, 1,573.58 and 501.28

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Solution

The fourth proportional to 1,049.05, 1,573.58 and 501.28 is: 751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.05 : 1,573.58 = 501.28 : x
  2. Step 2: Convert to fraction form
    1,049.05/1,573.58 = 501.28/x
  3. Step 3: Cross multiply
    1,049.05x = 1,573.58 × 501.28
  4. Step 4: Simplify right side
    1,049.05x = 788,804.18
  5. Step 5: Solve for x
    x = 788,804.18/1,049.05
  6. Step 6: Final answer
    x = 751.92

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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.