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Finding the Fourth Proportional to 1,556.36, 2,332.92 and 582.04

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Solution

The fourth proportional to 1,556.36, 2,332.92 and 582.04 is: 872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.36 : 2,332.92 = 582.04 : x
  2. Step 2: Convert to fraction form
    1,556.36/2,332.92 = 582.04/x
  3. Step 3: Cross multiply
    1,556.36x = 2,332.92 × 582.04
  4. Step 4: Simplify right side
    1,556.36x = 1,357,852.76
  5. Step 5: Solve for x
    x = 1,357,852.76/1,556.36
  6. Step 6: Final answer
    x = 872.45

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