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Finding the Fourth Proportional to 1,062.27, 1,465.16 and 689.00

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Solution

The fourth proportional to 1,062.27, 1,465.16 and 689.00 is: 950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.27 : 1,465.16 = 689.00 : x
  2. Step 2: Convert to fraction form
    1,062.27/1,465.16 = 689.00/x
  3. Step 3: Cross multiply
    1,062.27x = 1,465.16 × 689.00
  4. Step 4: Simplify right side
    1,062.27x = 1,009,484.47
  5. Step 5: Solve for x
    x = 1,009,484.47/1,062.27
  6. Step 6: Final answer
    x = 950.31

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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.