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Finding the Fourth Proportional to 649.61, 970.91 and 597.72

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Solution

The fourth proportional to 649.61, 970.91 and 597.72 is: 893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.61 : 970.91 = 597.72 : x
  2. Step 2: Convert to fraction form
    649.61/970.91 = 597.72/x
  3. Step 3: Cross multiply
    649.61x = 970.91 × 597.72
  4. Step 4: Simplify right side
    649.61x = 580,332.33
  5. Step 5: Solve for x
    x = 580,332.33/649.61
  6. Step 6: Final answer
    x = 893.35

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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.