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Finding the Fourth Proportional to 1,326.08, 1,829.88 and 802.04

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Solution

The fourth proportional to 1,326.08, 1,829.88 and 802.04 is: 1,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.08 : 1,829.88 = 802.04 : x
  2. Step 2: Convert to fraction form
    1,326.08/1,829.88 = 802.04/x
  3. Step 3: Cross multiply
    1,326.08x = 1,829.88 × 802.04
  4. Step 4: Simplify right side
    1,326.08x = 1,467,636.96
  5. Step 5: Solve for x
    x = 1,467,636.96/1,326.08
  6. Step 6: Final answer
    x = 1,106.75

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