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Finding the Fourth Proportional to 1,444.99, 2,166.95 and 520.30

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Solution

The fourth proportional to 1,444.99, 2,166.95 and 520.30 is: 780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.99 : 2,166.95 = 520.30 : x
  2. Step 2: Convert to fraction form
    1,444.99/2,166.95 = 520.30/x
  3. Step 3: Cross multiply
    1,444.99x = 2,166.95 × 520.30
  4. Step 4: Simplify right side
    1,444.99x = 1,127,462.00
  5. Step 5: Solve for x
    x = 1,127,462.00/1,444.99
  6. Step 6: Final answer
    x = 780.26

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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.