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Finding the Fourth Proportional to 946.76, 1,307.00 and 733.59

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Solution

The fourth proportional to 946.76, 1,307.00 and 733.59 is: 1,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.76 : 1,307.00 = 733.59 : x
  2. Step 2: Convert to fraction form
    946.76/1,307.00 = 733.59/x
  3. Step 3: Cross multiply
    946.76x = 1,307.00 × 733.59
  4. Step 4: Simplify right side
    946.76x = 958,800.10
  5. Step 5: Solve for x
    x = 958,800.10/946.76
  6. Step 6: Final answer
    x = 1,012.72

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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.