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Finding the Fourth Proportional to 1,354.60, 2,031.98 and 430.23

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Solution

The fourth proportional to 1,354.60, 2,031.98 and 430.23 is: 645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.60 : 2,031.98 = 430.23 : x
  2. Step 2: Convert to fraction form
    1,354.60/2,031.98 = 430.23/x
  3. Step 3: Cross multiply
    1,354.60x = 2,031.98 × 430.23
  4. Step 4: Simplify right side
    1,354.60x = 874,224.25
  5. Step 5: Solve for x
    x = 874,224.25/1,354.60
  6. Step 6: Final answer
    x = 645.37

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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.