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Finding the Fourth Proportional to 1,300.82, 1,951.88 and 570.40

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Solution

The fourth proportional to 1,300.82, 1,951.88 and 570.40 is: 855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.82 : 1,951.88 = 570.40 : x
  2. Step 2: Convert to fraction form
    1,300.82/1,951.88 = 570.40/x
  3. Step 3: Cross multiply
    1,300.82x = 1,951.88 × 570.40
  4. Step 4: Simplify right side
    1,300.82x = 1,113,339.74
  5. Step 5: Solve for x
    x = 1,113,339.74/1,300.82
  6. Step 6: Final answer
    x = 855.88

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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.