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Finding the Fourth Proportional to 1,556.61, 2,335.83 and 582.66

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Solution

The fourth proportional to 1,556.61, 2,335.83 and 582.66 is: 874.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.61 : 2,335.83 = 582.66 : x
  2. Step 2: Convert to fraction form
    1,556.61/2,335.83 = 582.66/x
  3. Step 3: Cross multiply
    1,556.61x = 2,335.83 × 582.66
  4. Step 4: Simplify right side
    1,556.61x = 1,360,994.71
  5. Step 5: Solve for x
    x = 1,360,994.71/1,556.61
  6. Step 6: Final answer
    x = 874.33

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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.