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Finding the Fourth Proportional to 703.71, 970.65 and 482.76

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Solution

The fourth proportional to 703.71, 970.65 and 482.76 is: 665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.71 : 970.65 = 482.76 : x
  2. Step 2: Convert to fraction form
    703.71/970.65 = 482.76/x
  3. Step 3: Cross multiply
    703.71x = 970.65 × 482.76
  4. Step 4: Simplify right side
    703.71x = 468,590.99
  5. Step 5: Solve for x
    x = 468,590.99/703.71
  6. Step 6: Final answer
    x = 665.89

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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.