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Finding the Fourth Proportional to 630.47, 945.74 and 595.85

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Solution

The fourth proportional to 630.47, 945.74 and 595.85 is: 893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.47 : 945.74 = 595.85 : x
  2. Step 2: Convert to fraction form
    630.47/945.74 = 595.85/x
  3. Step 3: Cross multiply
    630.47x = 945.74 × 595.85
  4. Step 4: Simplify right side
    630.47x = 563,515.94
  5. Step 5: Solve for x
    x = 563,515.94/630.47
  6. Step 6: Final answer
    x = 893.80

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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.