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Finding the Fourth Proportional to 740.04, 1,021.60 and 582.32

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Solution

The fourth proportional to 740.04, 1,021.60 and 582.32 is: 803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.04 : 1,021.60 = 582.32 : x
  2. Step 2: Convert to fraction form
    740.04/1,021.60 = 582.32/x
  3. Step 3: Cross multiply
    740.04x = 1,021.60 × 582.32
  4. Step 4: Simplify right side
    740.04x = 594,898.11
  5. Step 5: Solve for x
    x = 594,898.11/740.04
  6. Step 6: Final answer
    x = 803.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.