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Finding the Fourth Proportional to 1,146.84, 1,582.29 and 704.46

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Solution

The fourth proportional to 1,146.84, 1,582.29 and 704.46 is: 971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.84 : 1,582.29 = 704.46 : x
  2. Step 2: Convert to fraction form
    1,146.84/1,582.29 = 704.46/x
  3. Step 3: Cross multiply
    1,146.84x = 1,582.29 × 704.46
  4. Step 4: Simplify right side
    1,146.84x = 1,114,660.01
  5. Step 5: Solve for x
    x = 1,114,660.01/1,146.84
  6. Step 6: Final answer
    x = 971.94

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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.