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Finding the Fourth Proportional to 1,358.81, 2,038.37 and 434.15

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Solution

The fourth proportional to 1,358.81, 2,038.37 and 434.15 is: 651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.81 : 2,038.37 = 434.15 : x
  2. Step 2: Convert to fraction form
    1,358.81/2,038.37 = 434.15/x
  3. Step 3: Cross multiply
    1,358.81x = 2,038.37 × 434.15
  4. Step 4: Simplify right side
    1,358.81x = 884,961.26
  5. Step 5: Solve for x
    x = 884,961.26/1,358.81
  6. Step 6: Final answer
    x = 651.28

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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.