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Finding the Fourth Proportional to 1,263.72, 1,885.70 and 1,000.74

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Solution

The fourth proportional to 1,263.72, 1,885.70 and 1,000.74 is: 1,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.72 : 1,885.70 = 1,000.74 : x
  2. Step 2: Convert to fraction form
    1,263.72/1,885.70 = 1,000.74/x
  3. Step 3: Cross multiply
    1,263.72x = 1,885.70 × 1,000.74
  4. Step 4: Simplify right side
    1,263.72x = 1,887,095.42
  5. Step 5: Solve for x
    x = 1,887,095.42/1,263.72
  6. Step 6: Final answer
    x = 1,493.29

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