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Finding the Fourth Proportional to 946.58, 1,306.16 and 526.82

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Solution

The fourth proportional to 946.58, 1,306.16 and 526.82 is: 726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.58 : 1,306.16 = 526.82 : x
  2. Step 2: Convert to fraction form
    946.58/1,306.16 = 526.82/x
  3. Step 3: Cross multiply
    946.58x = 1,306.16 × 526.82
  4. Step 4: Simplify right side
    946.58x = 688,102.05
  5. Step 5: Solve for x
    x = 688,102.05/946.58
  6. Step 6: Final answer
    x = 726.94

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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.