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Finding the Fourth Proportional to 992.57, 1,487.76 and 530.64

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Solution

The fourth proportional to 992.57, 1,487.76 and 530.64 is: 795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.57 : 1,487.76 = 530.64 : x
  2. Step 2: Convert to fraction form
    992.57/1,487.76 = 530.64/x
  3. Step 3: Cross multiply
    992.57x = 1,487.76 × 530.64
  4. Step 4: Simplify right side
    992.57x = 789,464.97
  5. Step 5: Solve for x
    x = 789,464.97/992.57
  6. Step 6: Final answer
    x = 795.38

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Why These Related Problems?

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