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Finding the Fourth Proportional to 830.79, 1,244.70 and 501.12

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Solution

The fourth proportional to 830.79, 1,244.70 and 501.12 is: 750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.79 : 1,244.70 = 501.12 : x
  2. Step 2: Convert to fraction form
    830.79/1,244.70 = 501.12/x
  3. Step 3: Cross multiply
    830.79x = 1,244.70 × 501.12
  4. Step 4: Simplify right side
    830.79x = 623,744.06
  5. Step 5: Solve for x
    x = 623,744.06/830.79
  6. Step 6: Final answer
    x = 750.78

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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.