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Finding the Fourth Proportional to 934.34, 1,288.72 and 602.88

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Solution

The fourth proportional to 934.34, 1,288.72 and 602.88 is: 831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.34 : 1,288.72 = 602.88 : x
  2. Step 2: Convert to fraction form
    934.34/1,288.72 = 602.88/x
  3. Step 3: Cross multiply
    934.34x = 1,288.72 × 602.88
  4. Step 4: Simplify right side
    934.34x = 776,943.51
  5. Step 5: Solve for x
    x = 776,943.51/934.34
  6. Step 6: Final answer
    x = 831.54

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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.