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Finding the Fourth Proportional to 1,506.97, 2,259.99 and 532.84

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Solution

The fourth proportional to 1,506.97, 2,259.99 and 532.84 is: 799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.97 : 2,259.99 = 532.84 : x
  2. Step 2: Convert to fraction form
    1,506.97/2,259.99 = 532.84/x
  3. Step 3: Cross multiply
    1,506.97x = 2,259.99 × 532.84
  4. Step 4: Simplify right side
    1,506.97x = 1,204,210.41
  5. Step 5: Solve for x
    x = 1,204,210.41/1,506.97
  6. Step 6: Final answer
    x = 799.10

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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.