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Finding the Fourth Proportional to 1,207.48, 1,806.90 and 1,045.72

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Solution

The fourth proportional to 1,207.48, 1,806.90 and 1,045.72 is: 1,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.48 : 1,806.90 = 1,045.72 : x
  2. Step 2: Convert to fraction form
    1,207.48/1,806.90 = 1,045.72/x
  3. Step 3: Cross multiply
    1,207.48x = 1,806.90 × 1,045.72
  4. Step 4: Simplify right side
    1,207.48x = 1,889,511.47
  5. Step 5: Solve for x
    x = 1,889,511.47/1,207.48
  6. Step 6: Final answer
    x = 1,564.84

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