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Finding the Fourth Proportional to 7.58, 10.40 and 7.04

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Solution

The fourth proportional to 7.58, 10.40 and 7.04 is: 9.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.58 : 10.40 = 7.04 : x
  2. Step 2: Convert to fraction form
    7.58/10.40 = 7.04/x
  3. Step 3: Cross multiply
    7.58x = 10.40 × 7.04
  4. Step 4: Simplify right side
    7.58x = 73.22
  5. Step 5: Solve for x
    x = 73.22/7.58
  6. Step 6: Final answer
    x = 9.66

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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.