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Finding the Fourth Proportional to 648.18, 970.65 and 597.42

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Solution

The fourth proportional to 648.18, 970.65 and 597.42 is: 894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.18 : 970.65 = 597.42 : x
  2. Step 2: Convert to fraction form
    648.18/970.65 = 597.42/x
  3. Step 3: Cross multiply
    648.18x = 970.65 × 597.42
  4. Step 4: Simplify right side
    648.18x = 579,885.72
  5. Step 5: Solve for x
    x = 579,885.72/648.18
  6. Step 6: Final answer
    x = 894.64

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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.