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Finding the Fourth Proportional to 1,412.75, 2,117.67 and 591.50

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Solution

The fourth proportional to 1,412.75, 2,117.67 and 591.50 is: 886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.75 : 2,117.67 = 591.50 : x
  2. Step 2: Convert to fraction form
    1,412.75/2,117.67 = 591.50/x
  3. Step 3: Cross multiply
    1,412.75x = 2,117.67 × 591.50
  4. Step 4: Simplify right side
    1,412.75x = 1,252,601.81
  5. Step 5: Solve for x
    x = 1,252,601.81/1,412.75
  6. Step 6: Final answer
    x = 886.64

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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.