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Finding the Fourth Proportional to 957.02, 1,320.64 and 543.02

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Solution

The fourth proportional to 957.02, 1,320.64 and 543.02 is: 749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.02 : 1,320.64 = 543.02 : x
  2. Step 2: Convert to fraction form
    957.02/1,320.64 = 543.02/x
  3. Step 3: Cross multiply
    957.02x = 1,320.64 × 543.02
  4. Step 4: Simplify right side
    957.02x = 717,133.93
  5. Step 5: Solve for x
    x = 717,133.93/957.02
  6. Step 6: Final answer
    x = 749.34

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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.