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Finding the Fourth Proportional to 1,165.58, 1,748.61 and 549.98

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Solution

The fourth proportional to 1,165.58, 1,748.61 and 549.98 is: 825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.58 : 1,748.61 = 549.98 : x
  2. Step 2: Convert to fraction form
    1,165.58/1,748.61 = 549.98/x
  3. Step 3: Cross multiply
    1,165.58x = 1,748.61 × 549.98
  4. Step 4: Simplify right side
    1,165.58x = 961,700.53
  5. Step 5: Solve for x
    x = 961,700.53/1,165.58
  6. Step 6: Final answer
    x = 825.08

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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.