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Finding the Fourth Proportional to 830.12, 1,244.55 and 647.90

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Solution

The fourth proportional to 830.12, 1,244.55 and 647.90 is: 971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.12 : 1,244.55 = 647.90 : x
  2. Step 2: Convert to fraction form
    830.12/1,244.55 = 647.90/x
  3. Step 3: Cross multiply
    830.12x = 1,244.55 × 647.90
  4. Step 4: Simplify right side
    830.12x = 806,343.95
  5. Step 5: Solve for x
    x = 806,343.95/830.12
  6. Step 6: Final answer
    x = 971.36

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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.