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Finding the Fourth Proportional to 653.40, 893.70 and 637.20

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Solution

The fourth proportional to 653.40, 893.70 and 637.20 is: 871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.40 : 893.70 = 637.20 : x
  2. Step 2: Convert to fraction form
    653.40/893.70 = 637.20/x
  3. Step 3: Cross multiply
    653.40x = 893.70 × 637.20
  4. Step 4: Simplify right side
    653.40x = 569,465.64
  5. Step 5: Solve for x
    x = 569,465.64/653.40
  6. Step 6: Final answer
    x = 871.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.