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Finding the Fourth Proportional to 1,359.60, 2,038.40 and 537.46

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Solution

The fourth proportional to 1,359.60, 2,038.40 and 537.46 is: 805.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.60 : 2,038.40 = 537.46 : x
  2. Step 2: Convert to fraction form
    1,359.60/2,038.40 = 537.46/x
  3. Step 3: Cross multiply
    1,359.60x = 2,038.40 × 537.46
  4. Step 4: Simplify right side
    1,359.60x = 1,095,558.46
  5. Step 5: Solve for x
    x = 1,095,558.46/1,359.60
  6. Step 6: Final answer
    x = 805.79

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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.