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Finding the Fourth Proportional to 740.40, 1,110.82 and 466.08

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Solution

The fourth proportional to 740.40, 1,110.82 and 466.08 is: 699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.40 : 1,110.82 = 466.08 : x
  2. Step 2: Convert to fraction form
    740.40/1,110.82 = 466.08/x
  3. Step 3: Cross multiply
    740.40x = 1,110.82 × 466.08
  4. Step 4: Simplify right side
    740.40x = 517,730.99
  5. Step 5: Solve for x
    x = 517,730.99/740.40
  6. Step 6: Final answer
    x = 699.26

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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.