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Finding the Fourth Proportional to 1,066.34, 1,597.35 and 546.32

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Solution

The fourth proportional to 1,066.34, 1,597.35 and 546.32 is: 818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.34 : 1,597.35 = 546.32 : x
  2. Step 2: Convert to fraction form
    1,066.34/1,597.35 = 546.32/x
  3. Step 3: Cross multiply
    1,066.34x = 1,597.35 × 546.32
  4. Step 4: Simplify right side
    1,066.34x = 872,656.27
  5. Step 5: Solve for x
    x = 872,656.27/1,066.34
  6. Step 6: Final answer
    x = 818.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.