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Finding the Fourth Proportional to 970.73, 1,339.52 and 528.62

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Solution

The fourth proportional to 970.73, 1,339.52 and 528.62 is: 729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.73 : 1,339.52 = 528.62 : x
  2. Step 2: Convert to fraction form
    970.73/1,339.52 = 528.62/x
  3. Step 3: Cross multiply
    970.73x = 1,339.52 × 528.62
  4. Step 4: Simplify right side
    970.73x = 708,091.69
  5. Step 5: Solve for x
    x = 708,091.69/970.73
  6. Step 6: Final answer
    x = 729.45

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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.