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Finding the Fourth Proportional to 985.80, 1,477.44 and 368.94

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Solution

The fourth proportional to 985.80, 1,477.44 and 368.94 is: 552.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.80 : 1,477.44 = 368.94 : x
  2. Step 2: Convert to fraction form
    985.80/1,477.44 = 368.94/x
  3. Step 3: Cross multiply
    985.80x = 1,477.44 × 368.94
  4. Step 4: Simplify right side
    985.80x = 545,086.71
  5. Step 5: Solve for x
    x = 545,086.71/985.80
  6. Step 6: Final answer
    x = 552.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.