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Finding the Fourth Proportional to 740.18, 1,020.36 and 582.51

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Solution

The fourth proportional to 740.18, 1,020.36 and 582.51 is: 803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.18 : 1,020.36 = 582.51 : x
  2. Step 2: Convert to fraction form
    740.18/1,020.36 = 582.51/x
  3. Step 3: Cross multiply
    740.18x = 1,020.36 × 582.51
  4. Step 4: Simplify right side
    740.18x = 594,369.90
  5. Step 5: Solve for x
    x = 594,369.90/740.18
  6. Step 6: Final answer
    x = 803.01

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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.