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Finding the Fourth Proportional to 1,113.50, 1,670.24 and 455.24

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Solution

The fourth proportional to 1,113.50, 1,670.24 and 455.24 is: 682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.50 : 1,670.24 = 455.24 : x
  2. Step 2: Convert to fraction form
    1,113.50/1,670.24 = 455.24/x
  3. Step 3: Cross multiply
    1,113.50x = 1,670.24 × 455.24
  4. Step 4: Simplify right side
    1,113.50x = 760,351.71
  5. Step 5: Solve for x
    x = 760,351.71/1,113.50
  6. Step 6: Final answer
    x = 682.85

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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.