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Finding the Fourth Proportional to 1,064.01, 1,469.01 and 686.06

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Solution

The fourth proportional to 1,064.01, 1,469.01 and 686.06 is: 947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.01 : 1,469.01 = 686.06 : x
  2. Step 2: Convert to fraction form
    1,064.01/1,469.01 = 686.06/x
  3. Step 3: Cross multiply
    1,064.01x = 1,469.01 × 686.06
  4. Step 4: Simplify right side
    1,064.01x = 1,007,829.00
  5. Step 5: Solve for x
    x = 1,007,829.00/1,064.01
  6. Step 6: Final answer
    x = 947.20

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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.