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Finding the Fourth Proportional to 830.52, 1,146.42 and 597.78

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Solution

The fourth proportional to 830.52, 1,146.42 and 597.78 is: 825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.52 : 1,146.42 = 597.78 : x
  2. Step 2: Convert to fraction form
    830.52/1,146.42 = 597.78/x
  3. Step 3: Cross multiply
    830.52x = 1,146.42 × 597.78
  4. Step 4: Simplify right side
    830.52x = 685,306.95
  5. Step 5: Solve for x
    x = 685,306.95/830.52
  6. Step 6: Final answer
    x = 825.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.