Home / 1,033.09-1,549.75-302.67

Finding the Fourth Proportional to 1,033.09, 1,549.75 and 302.67

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Solution

The fourth proportional to 1,033.09, 1,549.75 and 302.67 is: 454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.09 : 1,549.75 = 302.67 : x
  2. Step 2: Convert to fraction form
    1,033.09/1,549.75 = 302.67/x
  3. Step 3: Cross multiply
    1,033.09x = 1,549.75 × 302.67
  4. Step 4: Simplify right side
    1,033.09x = 469,062.83
  5. Step 5: Solve for x
    x = 469,062.83/1,033.09
  6. Step 6: Final answer
    x = 454.04

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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.