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Finding the Fourth Proportional to 654.54, 902.93 and 530.34

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Solution

The fourth proportional to 654.54, 902.93 and 530.34 is: 731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.54 : 902.93 = 530.34 : x
  2. Step 2: Convert to fraction form
    654.54/902.93 = 530.34/x
  3. Step 3: Cross multiply
    654.54x = 902.93 × 530.34
  4. Step 4: Simplify right side
    654.54x = 478,857.24
  5. Step 5: Solve for x
    x = 478,857.24/654.54
  6. Step 6: Final answer
    x = 731.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.