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Finding the Fourth Proportional to 1,347.68, 2,020.58 and 730.74

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Solution

The fourth proportional to 1,347.68, 2,020.58 and 730.74 is: 1,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.68 : 2,020.58 = 730.74 : x
  2. Step 2: Convert to fraction form
    1,347.68/2,020.58 = 730.74/x
  3. Step 3: Cross multiply
    1,347.68x = 2,020.58 × 730.74
  4. Step 4: Simplify right side
    1,347.68x = 1,476,518.63
  5. Step 5: Solve for x
    x = 1,476,518.63/1,347.68
  6. Step 6: Final answer
    x = 1,095.60

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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.