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Finding the Fourth Proportional to 1,259.66, 1,738.65 and 840.14

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Solution

The fourth proportional to 1,259.66, 1,738.65 and 840.14 is: 1,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.66 : 1,738.65 = 840.14 : x
  2. Step 2: Convert to fraction form
    1,259.66/1,738.65 = 840.14/x
  3. Step 3: Cross multiply
    1,259.66x = 1,738.65 × 840.14
  4. Step 4: Simplify right side
    1,259.66x = 1,460,709.41
  5. Step 5: Solve for x
    x = 1,460,709.41/1,259.66
  6. Step 6: Final answer
    x = 1,159.61

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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.