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Finding the Fourth Proportional to 802.93, 1,108.06 and 471.60

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Solution

The fourth proportional to 802.93, 1,108.06 and 471.60 is: 650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.93 : 1,108.06 = 471.60 : x
  2. Step 2: Convert to fraction form
    802.93/1,108.06 = 471.60/x
  3. Step 3: Cross multiply
    802.93x = 1,108.06 × 471.60
  4. Step 4: Simplify right side
    802.93x = 522,561.10
  5. Step 5: Solve for x
    x = 522,561.10/802.93
  6. Step 6: Final answer
    x = 650.82

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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.