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Finding the Fourth Proportional to 1,572.48, 2,357.81 and 646.99

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Solution

The fourth proportional to 1,572.48, 2,357.81 and 646.99 is: 970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.48 : 2,357.81 = 646.99 : x
  2. Step 2: Convert to fraction form
    1,572.48/2,357.81 = 646.99/x
  3. Step 3: Cross multiply
    1,572.48x = 2,357.81 × 646.99
  4. Step 4: Simplify right side
    1,572.48x = 1,525,481.63
  5. Step 5: Solve for x
    x = 1,525,481.63/1,572.48
  6. Step 6: Final answer
    x = 970.11

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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.