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Finding the Fourth Proportional to 989.04, 1,476.51 and 923.16

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Solution

The fourth proportional to 989.04, 1,476.51 and 923.16 is: 1,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.04 : 1,476.51 = 923.16 : x
  2. Step 2: Convert to fraction form
    989.04/1,476.51 = 923.16/x
  3. Step 3: Cross multiply
    989.04x = 1,476.51 × 923.16
  4. Step 4: Simplify right side
    989.04x = 1,363,054.97
  5. Step 5: Solve for x
    x = 1,363,054.97/989.04
  6. Step 6: Final answer
    x = 1,378.16

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Why These Related Problems?

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