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Finding the Fourth Proportional to 1,166.55, 1,750.96 and 909.35

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Solution

The fourth proportional to 1,166.55, 1,750.96 and 909.35 is: 1,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.55 : 1,750.96 = 909.35 : x
  2. Step 2: Convert to fraction form
    1,166.55/1,750.96 = 909.35/x
  3. Step 3: Cross multiply
    1,166.55x = 1,750.96 × 909.35
  4. Step 4: Simplify right side
    1,166.55x = 1,592,234.42
  5. Step 5: Solve for x
    x = 1,592,234.42/1,166.55
  6. Step 6: Final answer
    x = 1,364.91

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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.