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Finding the Fourth Proportional to 946.19, 1,305.72 and 526.47

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Solution

The fourth proportional to 946.19, 1,305.72 and 526.47 is: 726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.19 : 1,305.72 = 526.47 : x
  2. Step 2: Convert to fraction form
    946.19/1,305.72 = 526.47/x
  3. Step 3: Cross multiply
    946.19x = 1,305.72 × 526.47
  4. Step 4: Simplify right side
    946.19x = 687,422.41
  5. Step 5: Solve for x
    x = 687,422.41/946.19
  6. Step 6: Final answer
    x = 726.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.