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Finding the Fourth Proportional to 646.88, 970.56 and 525.44

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Solution

The fourth proportional to 646.88, 970.56 and 525.44 is: 788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.88 : 970.56 = 525.44 : x
  2. Step 2: Convert to fraction form
    646.88/970.56 = 525.44/x
  3. Step 3: Cross multiply
    646.88x = 970.56 × 525.44
  4. Step 4: Simplify right side
    646.88x = 509,971.05
  5. Step 5: Solve for x
    x = 509,971.05/646.88
  6. Step 6: Final answer
    x = 788.35

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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.