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Finding the Fourth Proportional to 1,164.14, 1,746.18 and 547.64

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Solution

The fourth proportional to 1,164.14, 1,746.18 and 547.64 is: 821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.14 : 1,746.18 = 547.64 : x
  2. Step 2: Convert to fraction form
    1,164.14/1,746.18 = 547.64/x
  3. Step 3: Cross multiply
    1,164.14x = 1,746.18 × 547.64
  4. Step 4: Simplify right side
    1,164.14x = 956,269.28
  5. Step 5: Solve for x
    x = 956,269.28/1,164.14
  6. Step 6: Final answer
    x = 821.44

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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.