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Finding the Fourth Proportional to 1,596.02, 2,393.52 and 718.40

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Solution

The fourth proportional to 1,596.02, 2,393.52 and 718.40 is: 1,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.02 : 2,393.52 = 718.40 : x
  2. Step 2: Convert to fraction form
    1,596.02/2,393.52 = 718.40/x
  3. Step 3: Cross multiply
    1,596.02x = 2,393.52 × 718.40
  4. Step 4: Simplify right side
    1,596.02x = 1,719,504.77
  5. Step 5: Solve for x
    x = 1,719,504.77/1,596.02
  6. Step 6: Final answer
    x = 1,077.37

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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.