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Finding the Fourth Proportional to 1,358.49, 2,037.98 and 434.08

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Solution

The fourth proportional to 1,358.49, 2,037.98 and 434.08 is: 651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.49 : 2,037.98 = 434.08 : x
  2. Step 2: Convert to fraction form
    1,358.49/2,037.98 = 434.08/x
  3. Step 3: Cross multiply
    1,358.49x = 2,037.98 × 434.08
  4. Step 4: Simplify right side
    1,358.49x = 884,646.36
  5. Step 5: Solve for x
    x = 884,646.36/1,358.49
  6. Step 6: Final answer
    x = 651.20

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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.