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Finding the Fourth Proportional to 972.77, 1,342.54 and 541.64

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Solution

The fourth proportional to 972.77, 1,342.54 and 541.64 is: 747.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.77 : 1,342.54 = 541.64 : x
  2. Step 2: Convert to fraction form
    972.77/1,342.54 = 541.64/x
  3. Step 3: Cross multiply
    972.77x = 1,342.54 × 541.64
  4. Step 4: Simplify right side
    972.77x = 727,173.37
  5. Step 5: Solve for x
    x = 727,173.37/972.77
  6. Step 6: Final answer
    x = 747.53

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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.