Home / 1,050.30-1,569.39-802.08

Finding the Fourth Proportional to 1,050.30, 1,569.39 and 802.08

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Solution

The fourth proportional to 1,050.30, 1,569.39 and 802.08 is: 1,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.30 : 1,569.39 = 802.08 : x
  2. Step 2: Convert to fraction form
    1,050.30/1,569.39 = 802.08/x
  3. Step 3: Cross multiply
    1,050.30x = 1,569.39 × 802.08
  4. Step 4: Simplify right side
    1,050.30x = 1,258,776.33
  5. Step 5: Solve for x
    x = 1,258,776.33/1,050.30
  6. Step 6: Final answer
    x = 1,198.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.