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Finding the Fourth Proportional to 1,384.88, 2,077.08 and 358.88

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Solution

The fourth proportional to 1,384.88, 2,077.08 and 358.88 is: 538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.88 : 2,077.08 = 358.88 : x
  2. Step 2: Convert to fraction form
    1,384.88/2,077.08 = 358.88/x
  3. Step 3: Cross multiply
    1,384.88x = 2,077.08 × 358.88
  4. Step 4: Simplify right side
    1,384.88x = 745,422.47
  5. Step 5: Solve for x
    x = 745,422.47/1,384.88
  6. Step 6: Final answer
    x = 538.26

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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.