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Finding the Fourth Proportional to 946.02, 1,305.53 and 526.42

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Solution

The fourth proportional to 946.02, 1,305.53 and 526.42 is: 726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.02 : 1,305.53 = 526.42 : x
  2. Step 2: Convert to fraction form
    946.02/1,305.53 = 526.42/x
  3. Step 3: Cross multiply
    946.02x = 1,305.53 × 526.42
  4. Step 4: Simplify right side
    946.02x = 687,257.10
  5. Step 5: Solve for x
    x = 687,257.10/946.02
  6. Step 6: Final answer
    x = 726.47

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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.