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Finding the Fourth Proportional to 690.16, 1,035.84 and 582.02

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Solution

The fourth proportional to 690.16, 1,035.84 and 582.02 is: 873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.16 : 1,035.84 = 582.02 : x
  2. Step 2: Convert to fraction form
    690.16/1,035.84 = 582.02/x
  3. Step 3: Cross multiply
    690.16x = 1,035.84 × 582.02
  4. Step 4: Simplify right side
    690.16x = 602,879.60
  5. Step 5: Solve for x
    x = 602,879.60/690.16
  6. Step 6: Final answer
    x = 873.54

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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.