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Finding the Fourth Proportional to 1,070.64, 1,596.24 and 946.80

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Solution

The fourth proportional to 1,070.64, 1,596.24 and 946.80 is: 1,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.64 : 1,596.24 = 946.80 : x
  2. Step 2: Convert to fraction form
    1,070.64/1,596.24 = 946.80/x
  3. Step 3: Cross multiply
    1,070.64x = 1,596.24 × 946.80
  4. Step 4: Simplify right side
    1,070.64x = 1,511,320.03
  5. Step 5: Solve for x
    x = 1,511,320.03/1,070.64
  6. Step 6: Final answer
    x = 1,411.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.