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Finding the Fourth Proportional to 1,570.67, 2,168.00 and 907.99

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Solution

The fourth proportional to 1,570.67, 2,168.00 and 907.99 is: 1,253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.67 : 2,168.00 = 907.99 : x
  2. Step 2: Convert to fraction form
    1,570.67/2,168.00 = 907.99/x
  3. Step 3: Cross multiply
    1,570.67x = 2,168.00 × 907.99
  4. Step 4: Simplify right side
    1,570.67x = 1,968,506.94
  5. Step 5: Solve for x
    x = 1,968,506.94/1,570.67
  6. Step 6: Final answer
    x = 1,253.30

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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.