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Finding the Fourth Proportional to 709.07, 977.58 and 543.02

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Solution

The fourth proportional to 709.07, 977.58 and 543.02 is: 748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.07 : 977.58 = 543.02 : x
  2. Step 2: Convert to fraction form
    709.07/977.58 = 543.02/x
  3. Step 3: Cross multiply
    709.07x = 977.58 × 543.02
  4. Step 4: Simplify right side
    709.07x = 530,840.60
  5. Step 5: Solve for x
    x = 530,840.60/709.07
  6. Step 6: Final answer
    x = 748.65

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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.