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Finding the Fourth Proportional to 1,358.74, 2,038.11 and 384.72

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Solution

The fourth proportional to 1,358.74, 2,038.11 and 384.72 is: 577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.74 : 2,038.11 = 384.72 : x
  2. Step 2: Convert to fraction form
    1,358.74/2,038.11 = 384.72/x
  3. Step 3: Cross multiply
    1,358.74x = 2,038.11 × 384.72
  4. Step 4: Simplify right side
    1,358.74x = 784,101.68
  5. Step 5: Solve for x
    x = 784,101.68/1,358.74
  6. Step 6: Final answer
    x = 577.08

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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.