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Finding the Fourth Proportional to 1,407.50, 1,942.30 and 818.02

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Solution

The fourth proportional to 1,407.50, 1,942.30 and 818.02 is: 1,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.50 : 1,942.30 = 818.02 : x
  2. Step 2: Convert to fraction form
    1,407.50/1,942.30 = 818.02/x
  3. Step 3: Cross multiply
    1,407.50x = 1,942.30 × 818.02
  4. Step 4: Simplify right side
    1,407.50x = 1,588,840.25
  5. Step 5: Solve for x
    x = 1,588,840.25/1,407.50
  6. Step 6: Final answer
    x = 1,128.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.