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Finding the Fourth Proportional to 690.08, 1,033.60 and 497.12

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Solution

The fourth proportional to 690.08, 1,033.60 and 497.12 is: 744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.08 : 1,033.60 = 497.12 : x
  2. Step 2: Convert to fraction form
    690.08/1,033.60 = 497.12/x
  3. Step 3: Cross multiply
    690.08x = 1,033.60 × 497.12
  4. Step 4: Simplify right side
    690.08x = 513,823.23
  5. Step 5: Solve for x
    x = 513,823.23/690.08
  6. Step 6: Final answer
    x = 744.59

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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.