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Finding the Fourth Proportional to 1,110.34, 1,663.98 and 416.31

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Solution

The fourth proportional to 1,110.34, 1,663.98 and 416.31 is: 623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.34 : 1,663.98 = 416.31 : x
  2. Step 2: Convert to fraction form
    1,110.34/1,663.98 = 416.31/x
  3. Step 3: Cross multiply
    1,110.34x = 1,663.98 × 416.31
  4. Step 4: Simplify right side
    1,110.34x = 692,723.71
  5. Step 5: Solve for x
    x = 692,723.71/1,110.34
  6. Step 6: Final answer
    x = 623.88

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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.