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Finding the Fourth Proportional to 816.07, 1,125.88 and 536.46

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Solution

The fourth proportional to 816.07, 1,125.88 and 536.46 is: 740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.07 : 1,125.88 = 536.46 : x
  2. Step 2: Convert to fraction form
    816.07/1,125.88 = 536.46/x
  3. Step 3: Cross multiply
    816.07x = 1,125.88 × 536.46
  4. Step 4: Simplify right side
    816.07x = 603,989.58
  5. Step 5: Solve for x
    x = 603,989.58/816.07
  6. Step 6: Final answer
    x = 740.12

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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.