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Finding the Fourth Proportional to 1,430.85, 2,146.04 and 553.77

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Solution

The fourth proportional to 1,430.85, 2,146.04 and 553.77 is: 830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.85 : 2,146.04 = 553.77 : x
  2. Step 2: Convert to fraction form
    1,430.85/2,146.04 = 553.77/x
  3. Step 3: Cross multiply
    1,430.85x = 2,146.04 × 553.77
  4. Step 4: Simplify right side
    1,430.85x = 1,188,414.99
  5. Step 5: Solve for x
    x = 1,188,414.99/1,430.85
  6. Step 6: Final answer
    x = 830.57

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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.