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Finding the Fourth Proportional to 858.60, 1,286.10 and 714.60

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Solution

The fourth proportional to 858.60, 1,286.10 and 714.60 is: 1,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.60 : 1,286.10 = 714.60 : x
  2. Step 2: Convert to fraction form
    858.60/1,286.10 = 714.60/x
  3. Step 3: Cross multiply
    858.60x = 1,286.10 × 714.60
  4. Step 4: Simplify right side
    858.60x = 919,047.06
  5. Step 5: Solve for x
    x = 919,047.06/858.60
  6. Step 6: Final answer
    x = 1,070.40

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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.