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Finding the Fourth Proportional to 1,037.57, 1,556.62 and 549.95

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Solution

The fourth proportional to 1,037.57, 1,556.62 and 549.95 is: 825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.57 : 1,556.62 = 549.95 : x
  2. Step 2: Convert to fraction form
    1,037.57/1,556.62 = 549.95/x
  3. Step 3: Cross multiply
    1,037.57x = 1,556.62 × 549.95
  4. Step 4: Simplify right side
    1,037.57x = 856,054.01
  5. Step 5: Solve for x
    x = 856,054.01/1,037.57
  6. Step 6: Final answer
    x = 825.06

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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.