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Finding the Fourth Proportional to 1,412.66, 2,117.63 and 591.66

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Solution

The fourth proportional to 1,412.66, 2,117.63 and 591.66 is: 886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.66 : 2,117.63 = 591.66 : x
  2. Step 2: Convert to fraction form
    1,412.66/2,117.63 = 591.66/x
  3. Step 3: Cross multiply
    1,412.66x = 2,117.63 × 591.66
  4. Step 4: Simplify right side
    1,412.66x = 1,252,914.01
  5. Step 5: Solve for x
    x = 1,252,914.01/1,412.66
  6. Step 6: Final answer
    x = 886.92

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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.