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Finding the Fourth Proportional to 1,530.99, 2,296.98 and 606.80

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Solution

The fourth proportional to 1,530.99, 2,296.98 and 606.80 is: 910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.99 : 2,296.98 = 606.80 : x
  2. Step 2: Convert to fraction form
    1,530.99/2,296.98 = 606.80/x
  3. Step 3: Cross multiply
    1,530.99x = 2,296.98 × 606.80
  4. Step 4: Simplify right side
    1,530.99x = 1,393,795.98
  5. Step 5: Solve for x
    x = 1,393,795.98/1,530.99
  6. Step 6: Final answer
    x = 910.39

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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.