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Finding the Fourth Proportional to 946.16, 1,305.40 and 532.08

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Solution

The fourth proportional to 946.16, 1,305.40 and 532.08 is: 734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.16 : 1,305.40 = 532.08 : x
  2. Step 2: Convert to fraction form
    946.16/1,305.40 = 532.08/x
  3. Step 3: Cross multiply
    946.16x = 1,305.40 × 532.08
  4. Step 4: Simplify right side
    946.16x = 694,577.23
  5. Step 5: Solve for x
    x = 694,577.23/946.16
  6. Step 6: Final answer
    x = 734.10

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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.