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Finding the Fourth Proportional to 1,114.76, 1,670.54 and 977.48

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Solution

The fourth proportional to 1,114.76, 1,670.54 and 977.48 is: 1,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.76 : 1,670.54 = 977.48 : x
  2. Step 2: Convert to fraction form
    1,114.76/1,670.54 = 977.48/x
  3. Step 3: Cross multiply
    1,114.76x = 1,670.54 × 977.48
  4. Step 4: Simplify right side
    1,114.76x = 1,632,919.44
  5. Step 5: Solve for x
    x = 1,632,919.44/1,114.76
  6. Step 6: Final answer
    x = 1,464.82

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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.