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Finding the Fourth Proportional to 1,416.32, 2,125.31 and 594.53

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Solution

The fourth proportional to 1,416.32, 2,125.31 and 594.53 is: 892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.32 : 2,125.31 = 594.53 : x
  2. Step 2: Convert to fraction form
    1,416.32/2,125.31 = 594.53/x
  3. Step 3: Cross multiply
    1,416.32x = 2,125.31 × 594.53
  4. Step 4: Simplify right side
    1,416.32x = 1,263,554.93
  5. Step 5: Solve for x
    x = 1,263,554.93/1,416.32
  6. Step 6: Final answer
    x = 892.14

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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.