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Finding the Fourth Proportional to 1,101.70, 1,653.08 and 485.32

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Solution

The fourth proportional to 1,101.70, 1,653.08 and 485.32 is: 728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.70 : 1,653.08 = 485.32 : x
  2. Step 2: Convert to fraction form
    1,101.70/1,653.08 = 485.32/x
  3. Step 3: Cross multiply
    1,101.70x = 1,653.08 × 485.32
  4. Step 4: Simplify right side
    1,101.70x = 802,272.79
  5. Step 5: Solve for x
    x = 802,272.79/1,101.70
  6. Step 6: Final answer
    x = 728.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.