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Finding the Fourth Proportional to 1,097.40, 1,506.35 and 970.28

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Solution

The fourth proportional to 1,097.40, 1,506.35 and 970.28 is: 1,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.40 : 1,506.35 = 970.28 : x
  2. Step 2: Convert to fraction form
    1,097.40/1,506.35 = 970.28/x
  3. Step 3: Cross multiply
    1,097.40x = 1,506.35 × 970.28
  4. Step 4: Simplify right side
    1,097.40x = 1,461,576.36
  5. Step 5: Solve for x
    x = 1,461,576.36/1,097.40
  6. Step 6: Final answer
    x = 1,331.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.