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Finding the Fourth Proportional to 882.96, 1,216.32 and 735.36

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Solution

The fourth proportional to 882.96, 1,216.32 and 735.36 is: 1,012.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.96 : 1,216.32 = 735.36 : x
  2. Step 2: Convert to fraction form
    882.96/1,216.32 = 735.36/x
  3. Step 3: Cross multiply
    882.96x = 1,216.32 × 735.36
  4. Step 4: Simplify right side
    882.96x = 894,433.08
  5. Step 5: Solve for x
    x = 894,433.08/882.96
  6. Step 6: Final answer
    x = 1,012.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.