Home / 1,113.16-1,669.95-463.96

Finding the Fourth Proportional to 1,113.16, 1,669.95 and 463.96

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Solution

The fourth proportional to 1,113.16, 1,669.95 and 463.96 is: 696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.16 : 1,669.95 = 463.96 : x
  2. Step 2: Convert to fraction form
    1,113.16/1,669.95 = 463.96/x
  3. Step 3: Cross multiply
    1,113.16x = 1,669.95 × 463.96
  4. Step 4: Simplify right side
    1,113.16x = 774,790.00
  5. Step 5: Solve for x
    x = 774,790.00/1,113.16
  6. Step 6: Final answer
    x = 696.03

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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.