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Finding the Fourth Proportional to 1,284.53, 1,925.25 and 543.86

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Solution

The fourth proportional to 1,284.53, 1,925.25 and 543.86 is: 815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.53 : 1,925.25 = 543.86 : x
  2. Step 2: Convert to fraction form
    1,284.53/1,925.25 = 543.86/x
  3. Step 3: Cross multiply
    1,284.53x = 1,925.25 × 543.86
  4. Step 4: Simplify right side
    1,284.53x = 1,047,066.47
  5. Step 5: Solve for x
    x = 1,047,066.47/1,284.53
  6. Step 6: Final answer
    x = 815.14

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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.