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Finding the Fourth Proportional to 930.86, 1,284.62 and 532.58

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Solution

The fourth proportional to 930.86, 1,284.62 and 532.58 is: 734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.86 : 1,284.62 = 532.58 : x
  2. Step 2: Convert to fraction form
    930.86/1,284.62 = 532.58/x
  3. Step 3: Cross multiply
    930.86x = 1,284.62 × 532.58
  4. Step 4: Simplify right side
    930.86x = 684,160.26
  5. Step 5: Solve for x
    x = 684,160.26/930.86
  6. Step 6: Final answer
    x = 734.98

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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.