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Finding the Fourth Proportional to 882.96, 1,324.12 and 420.72

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Solution

The fourth proportional to 882.96, 1,324.12 and 420.72 is: 630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.96 : 1,324.12 = 420.72 : x
  2. Step 2: Convert to fraction form
    882.96/1,324.12 = 420.72/x
  3. Step 3: Cross multiply
    882.96x = 1,324.12 × 420.72
  4. Step 4: Simplify right side
    882.96x = 557,083.77
  5. Step 5: Solve for x
    x = 557,083.77/882.96
  6. Step 6: Final answer
    x = 630.93

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1.5x scale

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.