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Finding the Fourth Proportional to 1,358.70, 2,037.88 and 434.35

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Solution

The fourth proportional to 1,358.70, 2,037.88 and 434.35 is: 651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.70 : 2,037.88 = 434.35 : x
  2. Step 2: Convert to fraction form
    1,358.70/2,037.88 = 434.35/x
  3. Step 3: Cross multiply
    1,358.70x = 2,037.88 × 434.35
  4. Step 4: Simplify right side
    1,358.70x = 885,153.18
  5. Step 5: Solve for x
    x = 885,153.18/1,358.70
  6. Step 6: Final answer
    x = 651.47

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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.