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Finding the Fourth Proportional to 1,530.39, 2,295.18 and 664.50

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Solution

The fourth proportional to 1,530.39, 2,295.18 and 664.50 is: 996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.39 : 2,295.18 = 664.50 : x
  2. Step 2: Convert to fraction form
    1,530.39/2,295.18 = 664.50/x
  3. Step 3: Cross multiply
    1,530.39x = 2,295.18 × 664.50
  4. Step 4: Simplify right side
    1,530.39x = 1,525,147.11
  5. Step 5: Solve for x
    x = 1,525,147.11/1,530.39
  6. Step 6: Final answer
    x = 996.57

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1.5x scale

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.