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Finding the Fourth Proportional to 1,065.78, 1,597.02 and 631.92

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Solution

The fourth proportional to 1,065.78, 1,597.02 and 631.92 is: 946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.78 : 1,597.02 = 631.92 : x
  2. Step 2: Convert to fraction form
    1,065.78/1,597.02 = 631.92/x
  3. Step 3: Cross multiply
    1,065.78x = 1,597.02 × 631.92
  4. Step 4: Simplify right side
    1,065.78x = 1,009,188.88
  5. Step 5: Solve for x
    x = 1,009,188.88/1,065.78
  6. Step 6: Final answer
    x = 946.90

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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.