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Finding the Fourth Proportional to 1,337.58, 1,845.36 and 840.03

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Solution

The fourth proportional to 1,337.58, 1,845.36 and 840.03 is: 1,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.58 : 1,845.36 = 840.03 : x
  2. Step 2: Convert to fraction form
    1,337.58/1,845.36 = 840.03/x
  3. Step 3: Cross multiply
    1,337.58x = 1,845.36 × 840.03
  4. Step 4: Simplify right side
    1,337.58x = 1,550,157.76
  5. Step 5: Solve for x
    x = 1,550,157.76/1,337.58
  6. Step 6: Final answer
    x = 1,158.93

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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.