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Finding the Fourth Proportional to 1,798.47, 2,698.61 and 702.81

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Solution

The fourth proportional to 1,798.47, 2,698.61 and 702.81 is: 1,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.47 : 2,698.61 = 702.81 : x
  2. Step 2: Convert to fraction form
    1,798.47/2,698.61 = 702.81/x
  3. Step 3: Cross multiply
    1,798.47x = 2,698.61 × 702.81
  4. Step 4: Simplify right side
    1,798.47x = 1,896,606.58
  5. Step 5: Solve for x
    x = 1,896,606.58/1,798.47
  6. Step 6: Final answer
    x = 1,054.57

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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.