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Finding the Fourth Proportional to 1,416.04, 2,124.89 and 594.25

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Solution

The fourth proportional to 1,416.04, 2,124.89 and 594.25 is: 891.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.04 : 2,124.89 = 594.25 : x
  2. Step 2: Convert to fraction form
    1,416.04/2,124.89 = 594.25/x
  3. Step 3: Cross multiply
    1,416.04x = 2,124.89 × 594.25
  4. Step 4: Simplify right side
    1,416.04x = 1,262,709.83
  5. Step 5: Solve for x
    x = 1,262,709.83/1,416.04
  6. Step 6: Final answer
    x = 891.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.