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Finding the Fourth Proportional to 1,535.91, 2,302.53 and 713.76

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Solution

The fourth proportional to 1,535.91, 2,302.53 and 713.76 is: 1,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.91 : 2,302.53 = 713.76 : x
  2. Step 2: Convert to fraction form
    1,535.91/2,302.53 = 713.76/x
  3. Step 3: Cross multiply
    1,535.91x = 2,302.53 × 713.76
  4. Step 4: Simplify right side
    1,535.91x = 1,643,453.81
  5. Step 5: Solve for x
    x = 1,643,453.81/1,535.91
  6. Step 6: Final answer
    x = 1,070.02

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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.