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Finding the Fourth Proportional to 946.35, 1,302.08 and 924.48

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Solution

The fourth proportional to 946.35, 1,302.08 and 924.48 is: 1,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.35 : 1,302.08 = 924.48 : x
  2. Step 2: Convert to fraction form
    946.35/1,302.08 = 924.48/x
  3. Step 3: Cross multiply
    946.35x = 1,302.08 × 924.48
  4. Step 4: Simplify right side
    946.35x = 1,203,742.30
  5. Step 5: Solve for x
    x = 1,203,742.30/946.35
  6. Step 6: Final answer
    x = 1,271.98

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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.