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Finding the Fourth Proportional to 1,032.34, 1,424.16 and 633.64

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Solution

The fourth proportional to 1,032.34, 1,424.16 and 633.64 is: 874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.34 : 1,424.16 = 633.64 : x
  2. Step 2: Convert to fraction form
    1,032.34/1,424.16 = 633.64/x
  3. Step 3: Cross multiply
    1,032.34x = 1,424.16 × 633.64
  4. Step 4: Simplify right side
    1,032.34x = 902,404.74
  5. Step 5: Solve for x
    x = 902,404.74/1,032.34
  6. Step 6: Final answer
    x = 874.14

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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.