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Finding the Fourth Proportional to 1,326.66, 1,987.56 and 840.66

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Solution

The fourth proportional to 1,326.66, 1,987.56 and 840.66 is: 1,259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.66 : 1,987.56 = 840.66 : x
  2. Step 2: Convert to fraction form
    1,326.66/1,987.56 = 840.66/x
  3. Step 3: Cross multiply
    1,326.66x = 1,987.56 × 840.66
  4. Step 4: Simplify right side
    1,326.66x = 1,670,862.19
  5. Step 5: Solve for x
    x = 1,670,862.19/1,326.66
  6. Step 6: Final answer
    x = 1,259.45

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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.