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Finding the Fourth Proportional to 703.86, 970.86 and 442.02

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Solution

The fourth proportional to 703.86, 970.86 and 442.02 is: 609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.86 : 970.86 = 442.02 : x
  2. Step 2: Convert to fraction form
    703.86/970.86 = 442.02/x
  3. Step 3: Cross multiply
    703.86x = 970.86 × 442.02
  4. Step 4: Simplify right side
    703.86x = 429,139.54
  5. Step 5: Solve for x
    x = 429,139.54/703.86
  6. Step 6: Final answer
    x = 609.69

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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.