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Finding the Fourth Proportional to 1,037.93, 1,554.16 and 549.50

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Solution

The fourth proportional to 1,037.93, 1,554.16 and 549.50 is: 822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.93 : 1,554.16 = 549.50 : x
  2. Step 2: Convert to fraction form
    1,037.93/1,554.16 = 549.50/x
  3. Step 3: Cross multiply
    1,037.93x = 1,554.16 × 549.50
  4. Step 4: Simplify right side
    1,037.93x = 854,010.92
  5. Step 5: Solve for x
    x = 854,010.92/1,037.93
  6. Step 6: Final answer
    x = 822.80

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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.