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Finding the Fourth Proportional to 713.14, 1,070.01 and 497.08

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Solution

The fourth proportional to 713.14, 1,070.01 and 497.08 is: 745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.14 : 1,070.01 = 497.08 : x
  2. Step 2: Convert to fraction form
    713.14/1,070.01 = 497.08/x
  3. Step 3: Cross multiply
    713.14x = 1,070.01 × 497.08
  4. Step 4: Simplify right side
    713.14x = 531,880.57
  5. Step 5: Solve for x
    x = 531,880.57/713.14
  6. Step 6: Final answer
    x = 745.83

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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.