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Finding the Fourth Proportional to 1,039.70, 1,435.08 and 614.72

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Solution

The fourth proportional to 1,039.70, 1,435.08 and 614.72 is: 848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.70 : 1,435.08 = 614.72 : x
  2. Step 2: Convert to fraction form
    1,039.70/1,435.08 = 614.72/x
  3. Step 3: Cross multiply
    1,039.70x = 1,435.08 × 614.72
  4. Step 4: Simplify right side
    1,039.70x = 882,162.13
  5. Step 5: Solve for x
    x = 882,162.13/1,039.70
  6. Step 6: Final answer
    x = 848.48

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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.