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Finding the Fourth Proportional to 648.78, 894.54 and 530.32

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Solution

The fourth proportional to 648.78, 894.54 and 530.32 is: 731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.78 : 894.54 = 530.32 : x
  2. Step 2: Convert to fraction form
    648.78/894.54 = 530.32/x
  3. Step 3: Cross multiply
    648.78x = 894.54 × 530.32
  4. Step 4: Simplify right side
    648.78x = 474,392.45
  5. Step 5: Solve for x
    x = 474,392.45/648.78
  6. Step 6: Final answer
    x = 731.21

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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.