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Finding the Fourth Proportional to 1,358.69, 2,038.04 and 384.80

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Solution

The fourth proportional to 1,358.69, 2,038.04 and 384.80 is: 577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.69 : 2,038.04 = 384.80 : x
  2. Step 2: Convert to fraction form
    1,358.69/2,038.04 = 384.80/x
  3. Step 3: Cross multiply
    1,358.69x = 2,038.04 × 384.80
  4. Step 4: Simplify right side
    1,358.69x = 784,237.50
  5. Step 5: Solve for x
    x = 784,237.50/1,358.69
  6. Step 6: Final answer
    x = 577.20

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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.