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Finding the Fourth Proportional to 934.84, 1,290.18 and 585.64

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Solution

The fourth proportional to 934.84, 1,290.18 and 585.64 is: 808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.84 : 1,290.18 = 585.64 : x
  2. Step 2: Convert to fraction form
    934.84/1,290.18 = 585.64/x
  3. Step 3: Cross multiply
    934.84x = 1,290.18 × 585.64
  4. Step 4: Simplify right side
    934.84x = 755,581.02
  5. Step 5: Solve for x
    x = 755,581.02/934.84
  6. Step 6: Final answer
    x = 808.25

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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.