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Finding the Fourth Proportional to 1,359.90, 2,038.64 and 538.56

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Solution

The fourth proportional to 1,359.90, 2,038.64 and 538.56 is: 807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.90 : 2,038.64 = 538.56 : x
  2. Step 2: Convert to fraction form
    1,359.90/2,038.64 = 538.56/x
  3. Step 3: Cross multiply
    1,359.90x = 2,038.64 × 538.56
  4. Step 4: Simplify right side
    1,359.90x = 1,097,927.27
  5. Step 5: Solve for x
    x = 1,097,927.27/1,359.90
  6. Step 6: Final answer
    x = 807.36

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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.