Home / 1,437.24-2,156.09-706.76

Finding the Fourth Proportional to 1,437.24, 2,156.09 and 706.76

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Solution

The fourth proportional to 1,437.24, 2,156.09 and 706.76 is: 1,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.24 : 2,156.09 = 706.76 : x
  2. Step 2: Convert to fraction form
    1,437.24/2,156.09 = 706.76/x
  3. Step 3: Cross multiply
    1,437.24x = 2,156.09 × 706.76
  4. Step 4: Simplify right side
    1,437.24x = 1,523,831.94
  5. Step 5: Solve for x
    x = 1,523,831.94/1,437.24
  6. Step 6: Final answer
    x = 1,060.25

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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.