Home / 1,310.24-1,964.84-530.09

Finding the Fourth Proportional to 1,310.24, 1,964.84 and 530.09

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Solution

The fourth proportional to 1,310.24, 1,964.84 and 530.09 is: 794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.24 : 1,964.84 = 530.09 : x
  2. Step 2: Convert to fraction form
    1,310.24/1,964.84 = 530.09/x
  3. Step 3: Cross multiply
    1,310.24x = 1,964.84 × 530.09
  4. Step 4: Simplify right side
    1,310.24x = 1,041,550.96
  5. Step 5: Solve for x
    x = 1,041,550.96/1,310.24
  6. Step 6: Final answer
    x = 794.93

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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.