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Finding the Fourth Proportional to 715.15, 1,071.70 and 406.35

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Solution

The fourth proportional to 715.15, 1,071.70 and 406.35 is: 608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.15 : 1,071.70 = 406.35 : x
  2. Step 2: Convert to fraction form
    715.15/1,071.70 = 406.35/x
  3. Step 3: Cross multiply
    715.15x = 1,071.70 × 406.35
  4. Step 4: Simplify right side
    715.15x = 435,485.30
  5. Step 5: Solve for x
    x = 435,485.30/715.15
  6. Step 6: Final answer
    x = 608.94

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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.