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Finding the Fourth Proportional to 954.17, 1,315.91 and 706.11

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Solution

The fourth proportional to 954.17, 1,315.91 and 706.11 is: 973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.17 : 1,315.91 = 706.11 : x
  2. Step 2: Convert to fraction form
    954.17/1,315.91 = 706.11/x
  3. Step 3: Cross multiply
    954.17x = 1,315.91 × 706.11
  4. Step 4: Simplify right side
    954.17x = 929,177.21
  5. Step 5: Solve for x
    x = 929,177.21/954.17
  6. Step 6: Final answer
    x = 973.81

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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.