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Finding the Fourth Proportional to 653.61, 976.88 and 601.72

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Solution

The fourth proportional to 653.61, 976.88 and 601.72 is: 899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.61 : 976.88 = 601.72 : x
  2. Step 2: Convert to fraction form
    653.61/976.88 = 601.72/x
  3. Step 3: Cross multiply
    653.61x = 976.88 × 601.72
  4. Step 4: Simplify right side
    653.61x = 587,808.23
  5. Step 5: Solve for x
    x = 587,808.23/653.61
  6. Step 6: Final answer
    x = 899.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.