Home / 1,510.40-2,265.45-523.13

Finding the Fourth Proportional to 1,510.40, 2,265.45 and 523.13

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Solution

The fourth proportional to 1,510.40, 2,265.45 and 523.13 is: 784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.40 : 2,265.45 = 523.13 : x
  2. Step 2: Convert to fraction form
    1,510.40/2,265.45 = 523.13/x
  3. Step 3: Cross multiply
    1,510.40x = 2,265.45 × 523.13
  4. Step 4: Simplify right side
    1,510.40x = 1,185,113.53
  5. Step 5: Solve for x
    x = 1,185,113.53/1,510.40
  6. Step 6: Final answer
    x = 784.64

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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.