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Finding the Fourth Proportional to 1,106.04, 1,654.96 and 973.64

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Solution

The fourth proportional to 1,106.04, 1,654.96 and 973.64 is: 1,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.04 : 1,654.96 = 973.64 : x
  2. Step 2: Convert to fraction form
    1,106.04/1,654.96 = 973.64/x
  3. Step 3: Cross multiply
    1,106.04x = 1,654.96 × 973.64
  4. Step 4: Simplify right side
    1,106.04x = 1,611,335.25
  5. Step 5: Solve for x
    x = 1,611,335.25/1,106.04
  6. Step 6: Final answer
    x = 1,456.85

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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.