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Finding the Fourth Proportional to 1,324.51, 1,985.63 and 583.56

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Solution

The fourth proportional to 1,324.51, 1,985.63 and 583.56 is: 874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.51 : 1,985.63 = 583.56 : x
  2. Step 2: Convert to fraction form
    1,324.51/1,985.63 = 583.56/x
  3. Step 3: Cross multiply
    1,324.51x = 1,985.63 × 583.56
  4. Step 4: Simplify right side
    1,324.51x = 1,158,734.24
  5. Step 5: Solve for x
    x = 1,158,734.24/1,324.51
  6. Step 6: Final answer
    x = 874.84

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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.