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Finding the Fourth Proportional to 999.45, 1,506.65 and 932.55

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Solution

The fourth proportional to 999.45, 1,506.65 and 932.55 is: 1,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.45 : 1,506.65 = 932.55 : x
  2. Step 2: Convert to fraction form
    999.45/1,506.65 = 932.55/x
  3. Step 3: Cross multiply
    999.45x = 1,506.65 × 932.55
  4. Step 4: Simplify right side
    999.45x = 1,405,026.46
  5. Step 5: Solve for x
    x = 1,405,026.46/999.45
  6. Step 6: Final answer
    x = 1,405.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.