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Finding the Fourth Proportional to 924.45, 1,378.88 and 785.94

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Solution

The fourth proportional to 924.45, 1,378.88 and 785.94 is: 1,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.45 : 1,378.88 = 785.94 : x
  2. Step 2: Convert to fraction form
    924.45/1,378.88 = 785.94/x
  3. Step 3: Cross multiply
    924.45x = 1,378.88 × 785.94
  4. Step 4: Simplify right side
    924.45x = 1,083,710.79
  5. Step 5: Solve for x
    x = 1,083,710.79/924.45
  6. Step 6: Final answer
    x = 1,172.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.