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Finding the Fourth Proportional to 1,386.66, 2,079.86 and 412.77

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Solution

The fourth proportional to 1,386.66, 2,079.86 and 412.77 is: 619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.66 : 2,079.86 = 412.77 : x
  2. Step 2: Convert to fraction form
    1,386.66/2,079.86 = 412.77/x
  3. Step 3: Cross multiply
    1,386.66x = 2,079.86 × 412.77
  4. Step 4: Simplify right side
    1,386.66x = 858,501.75
  5. Step 5: Solve for x
    x = 858,501.75/1,386.66
  6. Step 6: Final answer
    x = 619.11

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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.