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Finding the Fourth Proportional to 830.40, 1,244.16 and 573.60

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Solution

The fourth proportional to 830.40, 1,244.16 and 573.60 is: 859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.40 : 1,244.16 = 573.60 : x
  2. Step 2: Convert to fraction form
    830.40/1,244.16 = 573.60/x
  3. Step 3: Cross multiply
    830.40x = 1,244.16 × 573.60
  4. Step 4: Simplify right side
    830.40x = 713,650.18
  5. Step 5: Solve for x
    x = 713,650.18/830.40
  6. Step 6: Final answer
    x = 859.41

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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.