Home / 1,210.46-1,815.84-517.16

Finding the Fourth Proportional to 1,210.46, 1,815.84 and 517.16

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Solution

The fourth proportional to 1,210.46, 1,815.84 and 517.16 is: 775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.46 : 1,815.84 = 517.16 : x
  2. Step 2: Convert to fraction form
    1,210.46/1,815.84 = 517.16/x
  3. Step 3: Cross multiply
    1,210.46x = 1,815.84 × 517.16
  4. Step 4: Simplify right side
    1,210.46x = 939,079.81
  5. Step 5: Solve for x
    x = 939,079.81/1,210.46
  6. Step 6: Final answer
    x = 775.80

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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.