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Finding the Fourth Proportional to 685.36, 1,027.84 and 530.65

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Solution

The fourth proportional to 685.36, 1,027.84 and 530.65 is: 795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.36 : 1,027.84 = 530.65 : x
  2. Step 2: Convert to fraction form
    685.36/1,027.84 = 530.65/x
  3. Step 3: Cross multiply
    685.36x = 1,027.84 × 530.65
  4. Step 4: Simplify right side
    685.36x = 545,424.25
  5. Step 5: Solve for x
    x = 545,424.25/685.36
  6. Step 6: Final answer
    x = 795.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.