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Finding the Fourth Proportional to 931.12, 1,283.82 and 709.67

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Solution

The fourth proportional to 931.12, 1,283.82 and 709.67 is: 978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.12 : 1,283.82 = 709.67 : x
  2. Step 2: Convert to fraction form
    931.12/1,283.82 = 709.67/x
  3. Step 3: Cross multiply
    931.12x = 1,283.82 × 709.67
  4. Step 4: Simplify right side
    931.12x = 911,088.54
  5. Step 5: Solve for x
    x = 911,088.54/931.12
  6. Step 6: Final answer
    x = 978.49

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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.