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Finding the Fourth Proportional to 1,570.80, 2,356.24 and 530.84

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Solution

The fourth proportional to 1,570.80, 2,356.24 and 530.84 is: 796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.80 : 2,356.24 = 530.84 : x
  2. Step 2: Convert to fraction form
    1,570.80/2,356.24 = 530.84/x
  3. Step 3: Cross multiply
    1,570.80x = 2,356.24 × 530.84
  4. Step 4: Simplify right side
    1,570.80x = 1,250,786.44
  5. Step 5: Solve for x
    x = 1,250,786.44/1,570.80
  6. Step 6: Final answer
    x = 796.27

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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.