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Finding the Fourth Proportional to 810.03, 1,117.94 and 460.74

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Solution

The fourth proportional to 810.03, 1,117.94 and 460.74 is: 635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.03 : 1,117.94 = 460.74 : x
  2. Step 2: Convert to fraction form
    810.03/1,117.94 = 460.74/x
  3. Step 3: Cross multiply
    810.03x = 1,117.94 × 460.74
  4. Step 4: Simplify right side
    810.03x = 515,077.37
  5. Step 5: Solve for x
    x = 515,077.37/810.03
  6. Step 6: Final answer
    x = 635.87

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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.