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Finding the Fourth Proportional to 973.97, 1,458.91 and 604.01

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Solution

The fourth proportional to 973.97, 1,458.91 and 604.01 is: 904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.97 : 1,458.91 = 604.01 : x
  2. Step 2: Convert to fraction form
    973.97/1,458.91 = 604.01/x
  3. Step 3: Cross multiply
    973.97x = 1,458.91 × 604.01
  4. Step 4: Simplify right side
    973.97x = 881,192.43
  5. Step 5: Solve for x
    x = 881,192.43/973.97
  6. Step 6: Final answer
    x = 904.74

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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.