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Finding the Fourth Proportional to 1,415.85, 2,124.12 and 593.67

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Solution

The fourth proportional to 1,415.85, 2,124.12 and 593.67 is: 890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.85 : 2,124.12 = 593.67 : x
  2. Step 2: Convert to fraction form
    1,415.85/2,124.12 = 593.67/x
  3. Step 3: Cross multiply
    1,415.85x = 2,124.12 × 593.67
  4. Step 4: Simplify right side
    1,415.85x = 1,261,026.32
  5. Step 5: Solve for x
    x = 1,261,026.32/1,415.85
  6. Step 6: Final answer
    x = 890.65

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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.