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Finding the Fourth Proportional to 954.13, 1,316.70 and 534.49

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Solution

The fourth proportional to 954.13, 1,316.70 and 534.49 is: 737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.13 : 1,316.70 = 534.49 : x
  2. Step 2: Convert to fraction form
    954.13/1,316.70 = 534.49/x
  3. Step 3: Cross multiply
    954.13x = 1,316.70 × 534.49
  4. Step 4: Simplify right side
    954.13x = 703,762.98
  5. Step 5: Solve for x
    x = 703,762.98/954.13
  6. Step 6: Final answer
    x = 737.60

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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.