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Finding the Fourth Proportional to 971.06, 1,455.06 and 580.10

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Solution

The fourth proportional to 971.06, 1,455.06 and 580.10 is: 869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.06 : 1,455.06 = 580.10 : x
  2. Step 2: Convert to fraction form
    971.06/1,455.06 = 580.10/x
  3. Step 3: Cross multiply
    971.06x = 1,455.06 × 580.10
  4. Step 4: Simplify right side
    971.06x = 844,080.31
  5. Step 5: Solve for x
    x = 844,080.31/971.06
  6. Step 6: Final answer
    x = 869.24

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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.