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Finding the Fourth Proportional to 930.99, 1,284.48 and 532.63

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Solution

The fourth proportional to 930.99, 1,284.48 and 532.63 is: 734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.99 : 1,284.48 = 532.63 : x
  2. Step 2: Convert to fraction form
    930.99/1,284.48 = 532.63/x
  3. Step 3: Cross multiply
    930.99x = 1,284.48 × 532.63
  4. Step 4: Simplify right side
    930.99x = 684,148.46
  5. Step 5: Solve for x
    x = 684,148.46/930.99
  6. Step 6: Final answer
    x = 734.86

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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.