Home / 1,535.12-2,302.28-712.58

Finding the Fourth Proportional to 1,535.12, 2,302.28 and 712.58

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Solution

The fourth proportional to 1,535.12, 2,302.28 and 712.58 is: 1,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.12 : 2,302.28 = 712.58 : x
  2. Step 2: Convert to fraction form
    1,535.12/2,302.28 = 712.58/x
  3. Step 3: Cross multiply
    1,535.12x = 2,302.28 × 712.58
  4. Step 4: Simplify right side
    1,535.12x = 1,640,558.68
  5. Step 5: Solve for x
    x = 1,640,558.68/1,535.12
  6. Step 6: Final answer
    x = 1,068.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.