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Finding the Fourth Proportional to 1,556.07, 2,335.14 and 582.17

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Solution

The fourth proportional to 1,556.07, 2,335.14 and 582.17 is: 873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.07 : 2,335.14 = 582.17 : x
  2. Step 2: Convert to fraction form
    1,556.07/2,335.14 = 582.17/x
  3. Step 3: Cross multiply
    1,556.07x = 2,335.14 × 582.17
  4. Step 4: Simplify right side
    1,556.07x = 1,359,445.54
  5. Step 5: Solve for x
    x = 1,359,445.54/1,556.07
  6. Step 6: Final answer
    x = 873.64

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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.