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Finding the Fourth Proportional to 1,506.91, 2,079.80 and 1,009.62

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Solution

The fourth proportional to 1,506.91, 2,079.80 and 1,009.62 is: 1,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.91 : 2,079.80 = 1,009.62 : x
  2. Step 2: Convert to fraction form
    1,506.91/2,079.80 = 1,009.62/x
  3. Step 3: Cross multiply
    1,506.91x = 2,079.80 × 1,009.62
  4. Step 4: Simplify right side
    1,506.91x = 2,099,806.41
  5. Step 5: Solve for x
    x = 2,099,806.41/1,506.91
  6. Step 6: Final answer
    x = 1,393.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.