Home / 1,432.07-1,976.45-802.63

Finding the Fourth Proportional to 1,432.07, 1,976.45 and 802.63

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Solution

The fourth proportional to 1,432.07, 1,976.45 and 802.63 is: 1,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.07 : 1,976.45 = 802.63 : x
  2. Step 2: Convert to fraction form
    1,432.07/1,976.45 = 802.63/x
  3. Step 3: Cross multiply
    1,432.07x = 1,976.45 × 802.63
  4. Step 4: Simplify right side
    1,432.07x = 1,586,358.06
  5. Step 5: Solve for x
    x = 1,586,358.06/1,432.07
  6. Step 6: Final answer
    x = 1,107.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.