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Finding the Fourth Proportional to 707.78, 975.30 and 583.04

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Solution

The fourth proportional to 707.78, 975.30 and 583.04 is: 803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.78 : 975.30 = 583.04 : x
  2. Step 2: Convert to fraction form
    707.78/975.30 = 583.04/x
  3. Step 3: Cross multiply
    707.78x = 975.30 × 583.04
  4. Step 4: Simplify right side
    707.78x = 568,638.91
  5. Step 5: Solve for x
    x = 568,638.91/707.78
  6. Step 6: Final answer
    x = 803.41

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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.