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Finding the Fourth Proportional to 830.10, 1,245.22 and 647.14

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Solution

The fourth proportional to 830.10, 1,245.22 and 647.14 is: 970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.10 : 1,245.22 = 647.14 : x
  2. Step 2: Convert to fraction form
    830.10/1,245.22 = 647.14/x
  3. Step 3: Cross multiply
    830.10x = 1,245.22 × 647.14
  4. Step 4: Simplify right side
    830.10x = 805,831.67
  5. Step 5: Solve for x
    x = 805,831.67/830.10
  6. Step 6: Final answer
    x = 970.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.