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Finding the Fourth Proportional to 704.89, 972.57 and 621.46

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Solution

The fourth proportional to 704.89, 972.57 and 621.46 is: 857.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.89 : 972.57 = 621.46 : x
  2. Step 2: Convert to fraction form
    704.89/972.57 = 621.46/x
  3. Step 3: Cross multiply
    704.89x = 972.57 × 621.46
  4. Step 4: Simplify right side
    704.89x = 604,413.35
  5. Step 5: Solve for x
    x = 604,413.35/704.89
  6. Step 6: Final answer
    x = 857.46

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1.5x scale

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.