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Finding the Fourth Proportional to 970.18, 1,453.82 and 830.61

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Solution

The fourth proportional to 970.18, 1,453.82 and 830.61 is: 1,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.18 : 1,453.82 = 830.61 : x
  2. Step 2: Convert to fraction form
    970.18/1,453.82 = 830.61/x
  3. Step 3: Cross multiply
    970.18x = 1,453.82 × 830.61
  4. Step 4: Simplify right side
    970.18x = 1,207,557.43
  5. Step 5: Solve for x
    x = 1,207,557.43/970.18
  6. Step 6: Final answer
    x = 1,244.67

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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.