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Finding the Fourth Proportional to 1,358.53, 2,037.83 and 384.70

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Solution

The fourth proportional to 1,358.53, 2,037.83 and 384.70 is: 577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.53 : 2,037.83 = 384.70 : x
  2. Step 2: Convert to fraction form
    1,358.53/2,037.83 = 384.70/x
  3. Step 3: Cross multiply
    1,358.53x = 2,037.83 × 384.70
  4. Step 4: Simplify right side
    1,358.53x = 783,953.20
  5. Step 5: Solve for x
    x = 783,953.20/1,358.53
  6. Step 6: Final answer
    x = 577.06

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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.