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Finding the Fourth Proportional to 1,300.12, 1,795.26 and 928.24

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Solution

The fourth proportional to 1,300.12, 1,795.26 and 928.24 is: 1,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.12 : 1,795.26 = 928.24 : x
  2. Step 2: Convert to fraction form
    1,300.12/1,795.26 = 928.24/x
  3. Step 3: Cross multiply
    1,300.12x = 1,795.26 × 928.24
  4. Step 4: Simplify right side
    1,300.12x = 1,666,432.14
  5. Step 5: Solve for x
    x = 1,666,432.14/1,300.12
  6. Step 6: Final answer
    x = 1,281.75

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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.