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Finding the Fourth Proportional to 599.76, 893.49 and 562.50

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Solution

The fourth proportional to 599.76, 893.49 and 562.50 is: 837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.76 : 893.49 = 562.50 : x
  2. Step 2: Convert to fraction form
    599.76/893.49 = 562.50/x
  3. Step 3: Cross multiply
    599.76x = 893.49 × 562.50
  4. Step 4: Simplify right side
    599.76x = 502,588.13
  5. Step 5: Solve for x
    x = 502,588.13/599.76
  6. Step 6: Final answer
    x = 837.98

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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.