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Finding the Fourth Proportional to 649.07, 977.27 and 572.52

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Solution

The fourth proportional to 649.07, 977.27 and 572.52 is: 862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.07 : 977.27 = 572.52 : x
  2. Step 2: Convert to fraction form
    649.07/977.27 = 572.52/x
  3. Step 3: Cross multiply
    649.07x = 977.27 × 572.52
  4. Step 4: Simplify right side
    649.07x = 559,503.76
  5. Step 5: Solve for x
    x = 559,503.76/649.07
  6. Step 6: Final answer
    x = 862.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.