Home / 1,534.04-2,301.20-546.76

Finding the Fourth Proportional to 1,534.04, 2,301.20 and 546.76

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Solution

The fourth proportional to 1,534.04, 2,301.20 and 546.76 is: 820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.04 : 2,301.20 = 546.76 : x
  2. Step 2: Convert to fraction form
    1,534.04/2,301.20 = 546.76/x
  3. Step 3: Cross multiply
    1,534.04x = 2,301.20 × 546.76
  4. Step 4: Simplify right side
    1,534.04x = 1,258,204.11
  5. Step 5: Solve for x
    x = 1,258,204.11/1,534.04
  6. Step 6: Final answer
    x = 820.19

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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.