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Finding the Fourth Proportional to 1,466.06, 2,023.25 and 802.94

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Solution

The fourth proportional to 1,466.06, 2,023.25 and 802.94 is: 1,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.06 : 2,023.25 = 802.94 : x
  2. Step 2: Convert to fraction form
    1,466.06/2,023.25 = 802.94/x
  3. Step 3: Cross multiply
    1,466.06x = 2,023.25 × 802.94
  4. Step 4: Simplify right side
    1,466.06x = 1,624,549.40
  5. Step 5: Solve for x
    x = 1,624,549.40/1,466.06
  6. Step 6: Final answer
    x = 1,108.10

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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.