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Finding the Fourth Proportional to 1,175.30, 1,620.59 and 802.49

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Solution

The fourth proportional to 1,175.30, 1,620.59 and 802.49 is: 1,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.30 : 1,620.59 = 802.49 : x
  2. Step 2: Convert to fraction form
    1,175.30/1,620.59 = 802.49/x
  3. Step 3: Cross multiply
    1,175.30x = 1,620.59 × 802.49
  4. Step 4: Simplify right side
    1,175.30x = 1,300,501.17
  5. Step 5: Solve for x
    x = 1,300,501.17/1,175.30
  6. Step 6: Final answer
    x = 1,106.52

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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.