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Finding the Fourth Proportional to 704.15, 970.75 and 586.30

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Solution

The fourth proportional to 704.15, 970.75 and 586.30 is: 808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.15 : 970.75 = 586.30 : x
  2. Step 2: Convert to fraction form
    704.15/970.75 = 586.30/x
  3. Step 3: Cross multiply
    704.15x = 970.75 × 586.30
  4. Step 4: Simplify right side
    704.15x = 569,150.73
  5. Step 5: Solve for x
    x = 569,150.73/704.15
  6. Step 6: Final answer
    x = 808.28

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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.