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Finding the Fourth Proportional to 1,146.46, 1,582.77 and 704.38

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Solution

The fourth proportional to 1,146.46, 1,582.77 and 704.38 is: 972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.46 : 1,582.77 = 704.38 : x
  2. Step 2: Convert to fraction form
    1,146.46/1,582.77 = 704.38/x
  3. Step 3: Cross multiply
    1,146.46x = 1,582.77 × 704.38
  4. Step 4: Simplify right side
    1,146.46x = 1,114,871.53
  5. Step 5: Solve for x
    x = 1,114,871.53/1,146.46
  6. Step 6: Final answer
    x = 972.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.