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Finding the Fourth Proportional to 1,416.75, 2,125.31 and 390.75

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Solution

The fourth proportional to 1,416.75, 2,125.31 and 390.75 is: 586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.75 : 2,125.31 = 390.75 : x
  2. Step 2: Convert to fraction form
    1,416.75/2,125.31 = 390.75/x
  3. Step 3: Cross multiply
    1,416.75x = 2,125.31 × 390.75
  4. Step 4: Simplify right side
    1,416.75x = 830,462.93
  5. Step 5: Solve for x
    x = 830,462.93/1,416.75
  6. Step 6: Final answer
    x = 586.17

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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.