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Finding the Fourth Proportional to 1,397.25, 1,928.16 and 977.15

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Solution

The fourth proportional to 1,397.25, 1,928.16 and 977.15 is: 1,348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.25 : 1,928.16 = 977.15 : x
  2. Step 2: Convert to fraction form
    1,397.25/1,928.16 = 977.15/x
  3. Step 3: Cross multiply
    1,397.25x = 1,928.16 × 977.15
  4. Step 4: Simplify right side
    1,397.25x = 1,884,106.36
  5. Step 5: Solve for x
    x = 1,884,106.36/1,397.25
  6. Step 6: Final answer
    x = 1,348.44

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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.