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Finding the Fourth Proportional to 1,358.72, 2,038.16 and 384.75

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Solution

The fourth proportional to 1,358.72, 2,038.16 and 384.75 is: 577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.72 : 2,038.16 = 384.75 : x
  2. Step 2: Convert to fraction form
    1,358.72/2,038.16 = 384.75/x
  3. Step 3: Cross multiply
    1,358.72x = 2,038.16 × 384.75
  4. Step 4: Simplify right side
    1,358.72x = 784,183.02
  5. Step 5: Solve for x
    x = 784,183.02/1,358.72
  6. Step 6: Final answer
    x = 577.15

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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.