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Finding the Fourth Proportional to 1,582.04, 2,371.01 and 656.54

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Solution

The fourth proportional to 1,582.04, 2,371.01 and 656.54 is: 983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.04 : 2,371.01 = 656.54 : x
  2. Step 2: Convert to fraction form
    1,582.04/2,371.01 = 656.54/x
  3. Step 3: Cross multiply
    1,582.04x = 2,371.01 × 656.54
  4. Step 4: Simplify right side
    1,582.04x = 1,556,659.62
  5. Step 5: Solve for x
    x = 1,556,659.62/1,582.04
  6. Step 6: Final answer
    x = 983.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.