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Finding the Fourth Proportional to 1,570.74, 2,355.71 and 646.56

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Solution

The fourth proportional to 1,570.74, 2,355.71 and 646.56 is: 969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.74 : 2,355.71 = 646.56 : x
  2. Step 2: Convert to fraction form
    1,570.74/2,355.71 = 646.56/x
  3. Step 3: Cross multiply
    1,570.74x = 2,355.71 × 646.56
  4. Step 4: Simplify right side
    1,570.74x = 1,523,104.62
  5. Step 5: Solve for x
    x = 1,523,104.62/1,570.74
  6. Step 6: Final answer
    x = 969.67

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Why These Related Problems?

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