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Finding the Fourth Proportional to 756.50, 1,043.47 and 546.32

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Solution

The fourth proportional to 756.50, 1,043.47 and 546.32 is: 753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.50 : 1,043.47 = 546.32 : x
  2. Step 2: Convert to fraction form
    756.50/1,043.47 = 546.32/x
  3. Step 3: Cross multiply
    756.50x = 1,043.47 × 546.32
  4. Step 4: Simplify right side
    756.50x = 570,068.53
  5. Step 5: Solve for x
    x = 570,068.53/756.50
  6. Step 6: Final answer
    x = 753.56

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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.