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Finding the Fourth Proportional to 662.51, 913.10 and 586.13

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Solution

The fourth proportional to 662.51, 913.10 and 586.13 is: 807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.51 : 913.10 = 586.13 : x
  2. Step 2: Convert to fraction form
    662.51/913.10 = 586.13/x
  3. Step 3: Cross multiply
    662.51x = 913.10 × 586.13
  4. Step 4: Simplify right side
    662.51x = 535,187.81
  5. Step 5: Solve for x
    x = 535,187.81/662.51
  6. Step 6: Final answer
    x = 807.82

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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.