Home / 1,464.13-2,196.29-463.34

Finding the Fourth Proportional to 1,464.13, 2,196.29 and 463.34

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Solution

The fourth proportional to 1,464.13, 2,196.29 and 463.34 is: 695.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.13 : 2,196.29 = 463.34 : x
  2. Step 2: Convert to fraction form
    1,464.13/2,196.29 = 463.34/x
  3. Step 3: Cross multiply
    1,464.13x = 2,196.29 × 463.34
  4. Step 4: Simplify right side
    1,464.13x = 1,017,615.71
  5. Step 5: Solve for x
    x = 1,017,615.71/1,464.13
  6. Step 6: Final answer
    x = 695.03

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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.