Home / 1,022.07-1,533.14-291.65

Finding the Fourth Proportional to 1,022.07, 1,533.14 and 291.65

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Solution

The fourth proportional to 1,022.07, 1,533.14 and 291.65 is: 437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.07 : 1,533.14 = 291.65 : x
  2. Step 2: Convert to fraction form
    1,022.07/1,533.14 = 291.65/x
  3. Step 3: Cross multiply
    1,022.07x = 1,533.14 × 291.65
  4. Step 4: Simplify right side
    1,022.07x = 447,131.16
  5. Step 5: Solve for x
    x = 447,131.16/1,022.07
  6. Step 6: Final answer
    x = 437.48

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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.