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Finding the Fourth Proportional to 1,113.36, 1,670.64 and 464.54

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Solution

The fourth proportional to 1,113.36, 1,670.64 and 464.54 is: 697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.36 : 1,670.64 = 464.54 : x
  2. Step 2: Convert to fraction form
    1,113.36/1,670.64 = 464.54/x
  3. Step 3: Cross multiply
    1,113.36x = 1,670.64 × 464.54
  4. Step 4: Simplify right side
    1,113.36x = 776,079.11
  5. Step 5: Solve for x
    x = 776,079.11/1,113.36
  6. Step 6: Final answer
    x = 697.06

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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.