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Finding the Fourth Proportional to 904.58, 1,359.30 and 758.98

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Solution

The fourth proportional to 904.58, 1,359.30 and 758.98 is: 1,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.58 : 1,359.30 = 758.98 : x
  2. Step 2: Convert to fraction form
    904.58/1,359.30 = 758.98/x
  3. Step 3: Cross multiply
    904.58x = 1,359.30 × 758.98
  4. Step 4: Simplify right side
    904.58x = 1,031,681.51
  5. Step 5: Solve for x
    x = 1,031,681.51/904.58
  6. Step 6: Final answer
    x = 1,140.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.