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Finding the Fourth Proportional to 706.40, 974 and 485.52

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Solution

The fourth proportional to 706.40, 974 and 485.52 is: 669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.40 : 974 = 485.52 : x
  2. Step 2: Convert to fraction form
    706.40/974 = 485.52/x
  3. Step 3: Cross multiply
    706.40x = 974 × 485.52
  4. Step 4: Simplify right side
    706.40x = 472,896.48
  5. Step 5: Solve for x
    x = 472,896.48/706.40
  6. Step 6: Final answer
    x = 669.45

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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.