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Finding the Fourth Proportional to 954.76, 1,429.26 and 543.16

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Solution

The fourth proportional to 954.76, 1,429.26 and 543.16 is: 813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.76 : 1,429.26 = 543.16 : x
  2. Step 2: Convert to fraction form
    954.76/1,429.26 = 543.16/x
  3. Step 3: Cross multiply
    954.76x = 1,429.26 × 543.16
  4. Step 4: Simplify right side
    954.76x = 776,316.86
  5. Step 5: Solve for x
    x = 776,316.86/954.76
  6. Step 6: Final answer
    x = 813.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.