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Finding the Fourth Proportional to 710.13, 978.94 and 461.36

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Solution

The fourth proportional to 710.13, 978.94 and 461.36 is: 636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.13 : 978.94 = 461.36 : x
  2. Step 2: Convert to fraction form
    710.13/978.94 = 461.36/x
  3. Step 3: Cross multiply
    710.13x = 978.94 × 461.36
  4. Step 4: Simplify right side
    710.13x = 451,643.76
  5. Step 5: Solve for x
    x = 451,643.76/710.13
  6. Step 6: Final answer
    x = 636.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.