Home / 1,164.16-1,746.72-701.92

Finding the Fourth Proportional to 1,164.16, 1,746.72 and 701.92

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Solution

The fourth proportional to 1,164.16, 1,746.72 and 701.92 is: 1,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.16 : 1,746.72 = 701.92 : x
  2. Step 2: Convert to fraction form
    1,164.16/1,746.72 = 701.92/x
  3. Step 3: Cross multiply
    1,164.16x = 1,746.72 × 701.92
  4. Step 4: Simplify right side
    1,164.16x = 1,226,057.70
  5. Step 5: Solve for x
    x = 1,226,057.70/1,164.16
  6. Step 6: Final answer
    x = 1,053.17

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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.