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Finding the Fourth Proportional to 1,416.49, 2,122.58 and 594.32

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Solution

The fourth proportional to 1,416.49, 2,122.58 and 594.32 is: 890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.49 : 2,122.58 = 594.32 : x
  2. Step 2: Convert to fraction form
    1,416.49/2,122.58 = 594.32/x
  3. Step 3: Cross multiply
    1,416.49x = 2,122.58 × 594.32
  4. Step 4: Simplify right side
    1,416.49x = 1,261,486.53
  5. Step 5: Solve for x
    x = 1,261,486.53/1,416.49
  6. Step 6: Final answer
    x = 890.57

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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.