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Finding the Fourth Proportional to 977.27, 1,464.66 and 703.89

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Solution

The fourth proportional to 977.27, 1,464.66 and 703.89 is: 1,054.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.27 : 1,464.66 = 703.89 : x
  2. Step 2: Convert to fraction form
    977.27/1,464.66 = 703.89/x
  3. Step 3: Cross multiply
    977.27x = 1,464.66 × 703.89
  4. Step 4: Simplify right side
    977.27x = 1,030,956.01
  5. Step 5: Solve for x
    x = 1,030,956.01/977.27
  6. Step 6: Final answer
    x = 1,054.94

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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.