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Finding the Fourth Proportional to 1,114.56, 1,670.40 and 872.64

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Solution

The fourth proportional to 1,114.56, 1,670.40 and 872.64 is: 1,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.56 : 1,670.40 = 872.64 : x
  2. Step 2: Convert to fraction form
    1,114.56/1,670.40 = 872.64/x
  3. Step 3: Cross multiply
    1,114.56x = 1,670.40 × 872.64
  4. Step 4: Simplify right side
    1,114.56x = 1,457,657.86
  5. Step 5: Solve for x
    x = 1,457,657.86/1,114.56
  6. Step 6: Final answer
    x = 1,307.83

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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.