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Finding the Fourth Proportional to 990.42, 1,483.98 and 954.78

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Solution

The fourth proportional to 990.42, 1,483.98 and 954.78 is: 1,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.42 : 1,483.98 = 954.78 : x
  2. Step 2: Convert to fraction form
    990.42/1,483.98 = 954.78/x
  3. Step 3: Cross multiply
    990.42x = 1,483.98 × 954.78
  4. Step 4: Simplify right side
    990.42x = 1,416,874.42
  5. Step 5: Solve for x
    x = 1,416,874.42/990.42
  6. Step 6: Final answer
    x = 1,430.58

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Why These Related Problems?

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