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Finding the Fourth Proportional to 1,287.48, 1,775.22 and 973.08

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Solution

The fourth proportional to 1,287.48, 1,775.22 and 973.08 is: 1,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.48 : 1,775.22 = 973.08 : x
  2. Step 2: Convert to fraction form
    1,287.48/1,775.22 = 973.08/x
  3. Step 3: Cross multiply
    1,287.48x = 1,775.22 × 973.08
  4. Step 4: Simplify right side
    1,287.48x = 1,727,431.08
  5. Step 5: Solve for x
    x = 1,727,431.08/1,287.48
  6. Step 6: Final answer
    x = 1,341.71

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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.