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Finding the Fourth Proportional to 1,354.51, 2,031.84 and 430.20

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Solution

The fourth proportional to 1,354.51, 2,031.84 and 430.20 is: 645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.51 : 2,031.84 = 430.20 : x
  2. Step 2: Convert to fraction form
    1,354.51/2,031.84 = 430.20/x
  3. Step 3: Cross multiply
    1,354.51x = 2,031.84 × 430.20
  4. Step 4: Simplify right side
    1,354.51x = 874,097.57
  5. Step 5: Solve for x
    x = 874,097.57/1,354.51
  6. Step 6: Final answer
    x = 645.32

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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.