Home / 1,325.88-1,829.34-802.08

Finding the Fourth Proportional to 1,325.88, 1,829.34 and 802.08

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Solution

The fourth proportional to 1,325.88, 1,829.34 and 802.08 is: 1,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.88 : 1,829.34 = 802.08 : x
  2. Step 2: Convert to fraction form
    1,325.88/1,829.34 = 802.08/x
  3. Step 3: Cross multiply
    1,325.88x = 1,829.34 × 802.08
  4. Step 4: Simplify right side
    1,325.88x = 1,467,277.03
  5. Step 5: Solve for x
    x = 1,467,277.03/1,325.88
  6. Step 6: Final answer
    x = 1,106.64

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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.