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Finding the Fourth Proportional to 1,113.66, 1,670.46 and 464.38

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Solution

The fourth proportional to 1,113.66, 1,670.46 and 464.38 is: 696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.66 : 1,670.46 = 464.38 : x
  2. Step 2: Convert to fraction form
    1,113.66/1,670.46 = 464.38/x
  3. Step 3: Cross multiply
    1,113.66x = 1,670.46 × 464.38
  4. Step 4: Simplify right side
    1,113.66x = 775,728.21
  5. Step 5: Solve for x
    x = 775,728.21/1,113.66
  6. Step 6: Final answer
    x = 696.56

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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.