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Finding the Fourth Proportional to 1,358.02, 2,037.03 and 384.11

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Solution

The fourth proportional to 1,358.02, 2,037.03 and 384.11 is: 576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.02 : 2,037.03 = 384.11 : x
  2. Step 2: Convert to fraction form
    1,358.02/2,037.03 = 384.11/x
  3. Step 3: Cross multiply
    1,358.02x = 2,037.03 × 384.11
  4. Step 4: Simplify right side
    1,358.02x = 782,443.59
  5. Step 5: Solve for x
    x = 782,443.59/1,358.02
  6. Step 6: Final answer
    x = 576.17

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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.