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Finding the Fourth Proportional to 1,297.47, 1,790.51 and 708

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Solution

The fourth proportional to 1,297.47, 1,790.51 and 708 is: 977.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.47 : 1,790.51 = 708 : x
  2. Step 2: Convert to fraction form
    1,297.47/1,790.51 = 708/x
  3. Step 3: Cross multiply
    1,297.47x = 1,790.51 × 708
  4. Step 4: Simplify right side
    1,297.47x = 1,267,681.08
  5. Step 5: Solve for x
    x = 1,267,681.08/1,297.47
  6. Step 6: Final answer
    x = 977.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.