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Finding the Fourth Proportional to 1,596.35, 2,394.53 and 442.10

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Solution

The fourth proportional to 1,596.35, 2,394.53 and 442.10 is: 663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.35 : 2,394.53 = 442.10 : x
  2. Step 2: Convert to fraction form
    1,596.35/2,394.53 = 442.10/x
  3. Step 3: Cross multiply
    1,596.35x = 2,394.53 × 442.10
  4. Step 4: Simplify right side
    1,596.35x = 1,058,607.53
  5. Step 5: Solve for x
    x = 1,058,607.53/1,596.35
  6. Step 6: Final answer
    x = 663.14

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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.