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Finding the Fourth Proportional to 647.48, 893.12 and 500.08

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Solution

The fourth proportional to 647.48, 893.12 and 500.08 is: 689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.48 : 893.12 = 500.08 : x
  2. Step 2: Convert to fraction form
    647.48/893.12 = 500.08/x
  3. Step 3: Cross multiply
    647.48x = 893.12 × 500.08
  4. Step 4: Simplify right side
    647.48x = 446,631.45
  5. Step 5: Solve for x
    x = 446,631.45/647.48
  6. Step 6: Final answer
    x = 689.80

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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.