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Finding the Fourth Proportional to 1,354.71, 2,032.13 and 430.34

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Solution

The fourth proportional to 1,354.71, 2,032.13 and 430.34 is: 645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.71 : 2,032.13 = 430.34 : x
  2. Step 2: Convert to fraction form
    1,354.71/2,032.13 = 430.34/x
  3. Step 3: Cross multiply
    1,354.71x = 2,032.13 × 430.34
  4. Step 4: Simplify right side
    1,354.71x = 874,502.82
  5. Step 5: Solve for x
    x = 874,502.82/1,354.71
  6. Step 6: Final answer
    x = 645.53

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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.