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Finding the Fourth Proportional to 1,339.50, 2,009.73 and 973.65

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Solution

The fourth proportional to 1,339.50, 2,009.73 and 973.65 is: 1,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.50 : 2,009.73 = 973.65 : x
  2. Step 2: Convert to fraction form
    1,339.50/2,009.73 = 973.65/x
  3. Step 3: Cross multiply
    1,339.50x = 2,009.73 × 973.65
  4. Step 4: Simplify right side
    1,339.50x = 1,956,773.61
  5. Step 5: Solve for x
    x = 1,956,773.61/1,339.50
  6. Step 6: Final answer
    x = 1,460.82

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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.