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Finding the Fourth Proportional to 1,407.75, 2,110.17 and 586.50

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Solution

The fourth proportional to 1,407.75, 2,110.17 and 586.50 is: 879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.75 : 2,110.17 = 586.50 : x
  2. Step 2: Convert to fraction form
    1,407.75/2,110.17 = 586.50/x
  3. Step 3: Cross multiply
    1,407.75x = 2,110.17 × 586.50
  4. Step 4: Simplify right side
    1,407.75x = 1,237,614.71
  5. Step 5: Solve for x
    x = 1,237,614.71/1,407.75
  6. Step 6: Final answer
    x = 879.14

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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.