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Finding the Fourth Proportional to 1,358.60, 2,037.71 and 384.80

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Solution

The fourth proportional to 1,358.60, 2,037.71 and 384.80 is: 577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.60 : 2,037.71 = 384.80 : x
  2. Step 2: Convert to fraction form
    1,358.60/2,037.71 = 384.80/x
  3. Step 3: Cross multiply
    1,358.60x = 2,037.71 × 384.80
  4. Step 4: Simplify right side
    1,358.60x = 784,101.58
  5. Step 5: Solve for x
    x = 784,101.58/1,358.60
  6. Step 6: Final answer
    x = 577.14

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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.