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Finding the Fourth Proportional to 901.76, 1,244.76 and 706.64

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Solution

The fourth proportional to 901.76, 1,244.76 and 706.64 is: 975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.76 : 1,244.76 = 706.64 : x
  2. Step 2: Convert to fraction form
    901.76/1,244.76 = 706.64/x
  3. Step 3: Cross multiply
    901.76x = 1,244.76 × 706.64
  4. Step 4: Simplify right side
    901.76x = 879,597.21
  5. Step 5: Solve for x
    x = 879,597.21/901.76
  6. Step 6: Final answer
    x = 975.42

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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.