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Finding the Fourth Proportional to 1,146.33, 1,582.03 and 704.39

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Solution

The fourth proportional to 1,146.33, 1,582.03 and 704.39 is: 972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.33 : 1,582.03 = 704.39 : x
  2. Step 2: Convert to fraction form
    1,146.33/1,582.03 = 704.39/x
  3. Step 3: Cross multiply
    1,146.33x = 1,582.03 × 704.39
  4. Step 4: Simplify right side
    1,146.33x = 1,114,359.08
  5. Step 5: Solve for x
    x = 1,114,359.08/1,146.33
  6. Step 6: Final answer
    x = 972.11

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1.5x scale

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.