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Finding the Fourth Proportional to 1,165.34, 1,746.48 and 548.93

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Solution

The fourth proportional to 1,165.34, 1,746.48 and 548.93 is: 822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.34 : 1,746.48 = 548.93 : x
  2. Step 2: Convert to fraction form
    1,165.34/1,746.48 = 548.93/x
  3. Step 3: Cross multiply
    1,165.34x = 1,746.48 × 548.93
  4. Step 4: Simplify right side
    1,165.34x = 958,695.27
  5. Step 5: Solve for x
    x = 958,695.27/1,165.34
  6. Step 6: Final answer
    x = 822.67

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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.