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Finding the Fourth Proportional to 1,326.60, 1,829.70 and 802.08

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Solution

The fourth proportional to 1,326.60, 1,829.70 and 802.08 is: 1,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.60 : 1,829.70 = 802.08 : x
  2. Step 2: Convert to fraction form
    1,326.60/1,829.70 = 802.08/x
  3. Step 3: Cross multiply
    1,326.60x = 1,829.70 × 802.08
  4. Step 4: Simplify right side
    1,326.60x = 1,467,565.78
  5. Step 5: Solve for x
    x = 1,467,565.78/1,326.60
  6. Step 6: Final answer
    x = 1,106.26

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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.