Home / 1,407.46-2,110.69-482.77

Finding the Fourth Proportional to 1,407.46, 2,110.69 and 482.77

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Solution

The fourth proportional to 1,407.46, 2,110.69 and 482.77 is: 723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.46 : 2,110.69 = 482.77 : x
  2. Step 2: Convert to fraction form
    1,407.46/2,110.69 = 482.77/x
  3. Step 3: Cross multiply
    1,407.46x = 2,110.69 × 482.77
  4. Step 4: Simplify right side
    1,407.46x = 1,018,977.81
  5. Step 5: Solve for x
    x = 1,018,977.81/1,407.46
  6. Step 6: Final answer
    x = 723.98

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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.