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Finding the Fourth Proportional to 1,358.85, 2,038.24 and 434.46

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Solution

The fourth proportional to 1,358.85, 2,038.24 and 434.46 is: 651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.85 : 2,038.24 = 434.46 : x
  2. Step 2: Convert to fraction form
    1,358.85/2,038.24 = 434.46/x
  3. Step 3: Cross multiply
    1,358.85x = 2,038.24 × 434.46
  4. Step 4: Simplify right side
    1,358.85x = 885,533.75
  5. Step 5: Solve for x
    x = 885,533.75/1,358.85
  6. Step 6: Final answer
    x = 651.68

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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.