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Finding the Fourth Proportional to 946.55, 1,305.72 and 553.70

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Solution

The fourth proportional to 946.55, 1,305.72 and 553.70 is: 763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.55 : 1,305.72 = 553.70 : x
  2. Step 2: Convert to fraction form
    946.55/1,305.72 = 553.70/x
  3. Step 3: Cross multiply
    946.55x = 1,305.72 × 553.70
  4. Step 4: Simplify right side
    946.55x = 722,980.43
  5. Step 5: Solve for x
    x = 722,980.43/946.55
  6. Step 6: Final answer
    x = 763.80

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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.