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Finding the Fourth Proportional to 946.14, 1,305.74 and 526.52

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Solution

The fourth proportional to 946.14, 1,305.74 and 526.52 is: 726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.14 : 1,305.74 = 526.52 : x
  2. Step 2: Convert to fraction form
    946.14/1,305.74 = 526.52/x
  3. Step 3: Cross multiply
    946.14x = 1,305.74 × 526.52
  4. Step 4: Simplify right side
    946.14x = 687,502.81
  5. Step 5: Solve for x
    x = 687,502.81/946.14
  6. Step 6: Final answer
    x = 726.64

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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.