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Finding the Fourth Proportional to 1,663.10, 2,494.63 and 430.50

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Solution

The fourth proportional to 1,663.10, 2,494.63 and 430.50 is: 645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.10 : 2,494.63 = 430.50 : x
  2. Step 2: Convert to fraction form
    1,663.10/2,494.63 = 430.50/x
  3. Step 3: Cross multiply
    1,663.10x = 2,494.63 × 430.50
  4. Step 4: Simplify right side
    1,663.10x = 1,073,938.22
  5. Step 5: Solve for x
    x = 1,073,938.22/1,663.10
  6. Step 6: Final answer
    x = 645.74

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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.