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Finding the Fourth Proportional to 810.21, 1,117.40 and 662.58

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Solution

The fourth proportional to 810.21, 1,117.40 and 662.58 is: 913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.21 : 1,117.40 = 662.58 : x
  2. Step 2: Convert to fraction form
    810.21/1,117.40 = 662.58/x
  3. Step 3: Cross multiply
    810.21x = 1,117.40 × 662.58
  4. Step 4: Simplify right side
    810.21x = 740,366.89
  5. Step 5: Solve for x
    x = 740,366.89/810.21
  6. Step 6: Final answer
    x = 913.80

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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.