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Finding the Fourth Proportional to 990.04, 1,478 and 924.16

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Solution

The fourth proportional to 990.04, 1,478 and 924.16 is: 1,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.04 : 1,478 = 924.16 : x
  2. Step 2: Convert to fraction form
    990.04/1,478 = 924.16/x
  3. Step 3: Cross multiply
    990.04x = 1,478 × 924.16
  4. Step 4: Simplify right side
    990.04x = 1,365,908.48
  5. Step 5: Solve for x
    x = 1,365,908.48/990.04
  6. Step 6: Final answer
    x = 1,379.65

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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.