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Finding the Fourth Proportional to 1,358.71, 2,037.76 and 384.78

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Solution

The fourth proportional to 1,358.71, 2,037.76 and 384.78 is: 577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.71 : 2,037.76 = 384.78 : x
  2. Step 2: Convert to fraction form
    1,358.71/2,037.76 = 384.78/x
  3. Step 3: Cross multiply
    1,358.71x = 2,037.76 × 384.78
  4. Step 4: Simplify right side
    1,358.71x = 784,095.97
  5. Step 5: Solve for x
    x = 784,095.97/1,358.71
  6. Step 6: Final answer
    x = 577.09

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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.