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Finding the Fourth Proportional to 1,103.02, 1,656.59 and 971.30

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Solution

The fourth proportional to 1,103.02, 1,656.59 and 971.30 is: 1,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.02 : 1,656.59 = 971.30 : x
  2. Step 2: Convert to fraction form
    1,103.02/1,656.59 = 971.30/x
  3. Step 3: Cross multiply
    1,103.02x = 1,656.59 × 971.30
  4. Step 4: Simplify right side
    1,103.02x = 1,609,045.87
  5. Step 5: Solve for x
    x = 1,609,045.87/1,103.02
  6. Step 6: Final answer
    x = 1,458.76

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