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Finding the Fourth Proportional to 1,434.79, 2,152.37 and 394.75

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Solution

The fourth proportional to 1,434.79, 2,152.37 and 394.75 is: 592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.79 : 2,152.37 = 394.75 : x
  2. Step 2: Convert to fraction form
    1,434.79/2,152.37 = 394.75/x
  3. Step 3: Cross multiply
    1,434.79x = 2,152.37 × 394.75
  4. Step 4: Simplify right side
    1,434.79x = 849,648.06
  5. Step 5: Solve for x
    x = 849,648.06/1,434.79
  6. Step 6: Final answer
    x = 592.18

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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.