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Finding the Fourth Proportional to 1,048.18, 1,446.29 and 675.07

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Solution

The fourth proportional to 1,048.18, 1,446.29 and 675.07 is: 931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.18 : 1,446.29 = 675.07 : x
  2. Step 2: Convert to fraction form
    1,048.18/1,446.29 = 675.07/x
  3. Step 3: Cross multiply
    1,048.18x = 1,446.29 × 675.07
  4. Step 4: Simplify right side
    1,048.18x = 976,346.99
  5. Step 5: Solve for x
    x = 976,346.99/1,048.18
  6. Step 6: Final answer
    x = 931.47

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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.