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Finding the Fourth Proportional to 653.14, 977.82 and 508.42

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Solution

The fourth proportional to 653.14, 977.82 and 508.42 is: 761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.14 : 977.82 = 508.42 : x
  2. Step 2: Convert to fraction form
    653.14/977.82 = 508.42/x
  3. Step 3: Cross multiply
    653.14x = 977.82 × 508.42
  4. Step 4: Simplify right side
    653.14x = 497,143.24
  5. Step 5: Solve for x
    x = 497,143.24/653.14
  6. Step 6: Final answer
    x = 761.16

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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.