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Finding the Fourth Proportional to 1,074.86, 1,482.97 and 602.70

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Solution

The fourth proportional to 1,074.86, 1,482.97 and 602.70 is: 831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.86 : 1,482.97 = 602.70 : x
  2. Step 2: Convert to fraction form
    1,074.86/1,482.97 = 602.70/x
  3. Step 3: Cross multiply
    1,074.86x = 1,482.97 × 602.70
  4. Step 4: Simplify right side
    1,074.86x = 893,786.02
  5. Step 5: Solve for x
    x = 893,786.02/1,074.86
  6. Step 6: Final answer
    x = 831.54

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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.