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Finding the Fourth Proportional to 687.06, 947.04 and 546.74

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Solution

The fourth proportional to 687.06, 947.04 and 546.74 is: 753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.06 : 947.04 = 546.74 : x
  2. Step 2: Convert to fraction form
    687.06/947.04 = 546.74/x
  3. Step 3: Cross multiply
    687.06x = 947.04 × 546.74
  4. Step 4: Simplify right side
    687.06x = 517,779.91
  5. Step 5: Solve for x
    x = 517,779.91/687.06
  6. Step 6: Final answer
    x = 753.62

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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.