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Finding the Fourth Proportional to 852.00, 1,174.90 and 802.40

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Solution

The fourth proportional to 852.00, 1,174.90 and 802.40 is: 1,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.00 : 1,174.90 = 802.40 : x
  2. Step 2: Convert to fraction form
    852.00/1,174.90 = 802.40/x
  3. Step 3: Cross multiply
    852.00x = 1,174.90 × 802.40
  4. Step 4: Simplify right side
    852.00x = 942,734.82
  5. Step 5: Solve for x
    x = 942,734.82/852.00
  6. Step 6: Final answer
    x = 1,106.49

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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.