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Finding the Fourth Proportional to 715.36, 1,070.60 and 496.06

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Solution

The fourth proportional to 715.36, 1,070.60 and 496.06 is: 742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.36 : 1,070.60 = 496.06 : x
  2. Step 2: Convert to fraction form
    715.36/1,070.60 = 496.06/x
  3. Step 3: Cross multiply
    715.36x = 1,070.60 × 496.06
  4. Step 4: Simplify right side
    715.36x = 531,081.84
  5. Step 5: Solve for x
    x = 531,081.84/715.36
  6. Step 6: Final answer
    x = 742.40

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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.