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Finding the Fourth Proportional to 971.07, 1,455.58 and 484.39

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Solution

The fourth proportional to 971.07, 1,455.58 and 484.39 is: 726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.07 : 1,455.58 = 484.39 : x
  2. Step 2: Convert to fraction form
    971.07/1,455.58 = 484.39/x
  3. Step 3: Cross multiply
    971.07x = 1,455.58 × 484.39
  4. Step 4: Simplify right side
    971.07x = 705,068.40
  5. Step 5: Solve for x
    x = 705,068.40/971.07
  6. Step 6: Final answer
    x = 726.07

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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.