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Finding the Fourth Proportional to 1,023.68, 1,412.46 and 708.46

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Solution

The fourth proportional to 1,023.68, 1,412.46 and 708.46 is: 977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.68 : 1,412.46 = 708.46 : x
  2. Step 2: Convert to fraction form
    1,023.68/1,412.46 = 708.46/x
  3. Step 3: Cross multiply
    1,023.68x = 1,412.46 × 708.46
  4. Step 4: Simplify right side
    1,023.68x = 1,000,667.88
  5. Step 5: Solve for x
    x = 1,000,667.88/1,023.68
  6. Step 6: Final answer
    x = 977.52

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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.