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Finding the Fourth Proportional to 971.01, 1,455.47 and 477.77

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Solution

The fourth proportional to 971.01, 1,455.47 and 477.77 is: 716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.01 : 1,455.47 = 477.77 : x
  2. Step 2: Convert to fraction form
    971.01/1,455.47 = 477.77/x
  3. Step 3: Cross multiply
    971.01x = 1,455.47 × 477.77
  4. Step 4: Simplify right side
    971.01x = 695,370.24
  5. Step 5: Solve for x
    x = 695,370.24/971.01
  6. Step 6: Final answer
    x = 716.13

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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.