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Finding the Fourth Proportional to 934.90, 1,402.35 and 858.10

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Solution

The fourth proportional to 934.90, 1,402.35 and 858.10 is: 1,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.90 : 1,402.35 = 858.10 : x
  2. Step 2: Convert to fraction form
    934.90/1,402.35 = 858.10/x
  3. Step 3: Cross multiply
    934.90x = 1,402.35 × 858.10
  4. Step 4: Simplify right side
    934.90x = 1,203,356.54
  5. Step 5: Solve for x
    x = 1,203,356.54/934.90
  6. Step 6: Final answer
    x = 1,287.15

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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.