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Finding the Fourth Proportional to 1,113.92, 1,670.53 and 464.50

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Solution

The fourth proportional to 1,113.92, 1,670.53 and 464.50 is: 696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.92 : 1,670.53 = 464.50 : x
  2. Step 2: Convert to fraction form
    1,113.92/1,670.53 = 464.50/x
  3. Step 3: Cross multiply
    1,113.92x = 1,670.53 × 464.50
  4. Step 4: Simplify right side
    1,113.92x = 775,961.19
  5. Step 5: Solve for x
    x = 775,961.19/1,113.92
  6. Step 6: Final answer
    x = 696.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.