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Finding the Fourth Proportional to 1,259.06, 1,737.87 and 840.02

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Solution

The fourth proportional to 1,259.06, 1,737.87 and 840.02 is: 1,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.06 : 1,737.87 = 840.02 : x
  2. Step 2: Convert to fraction form
    1,259.06/1,737.87 = 840.02/x
  3. Step 3: Cross multiply
    1,259.06x = 1,737.87 × 840.02
  4. Step 4: Simplify right side
    1,259.06x = 1,459,845.56
  5. Step 5: Solve for x
    x = 1,459,845.56/1,259.06
  6. Step 6: Final answer
    x = 1,159.47

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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.