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Finding the Fourth Proportional to 1,146.76, 1,582.53 and 704.56

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Solution

The fourth proportional to 1,146.76, 1,582.53 and 704.56 is: 972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.76 : 1,582.53 = 704.56 : x
  2. Step 2: Convert to fraction form
    1,146.76/1,582.53 = 704.56/x
  3. Step 3: Cross multiply
    1,146.76x = 1,582.53 × 704.56
  4. Step 4: Simplify right side
    1,146.76x = 1,114,987.34
  5. Step 5: Solve for x
    x = 1,114,987.34/1,146.76
  6. Step 6: Final answer
    x = 972.29

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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.