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Finding the Fourth Proportional to 1,036.64, 1,554.05 and 730.46

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Solution

The fourth proportional to 1,036.64, 1,554.05 and 730.46 is: 1,095.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.64 : 1,554.05 = 730.46 : x
  2. Step 2: Convert to fraction form
    1,036.64/1,554.05 = 730.46/x
  3. Step 3: Cross multiply
    1,036.64x = 1,554.05 × 730.46
  4. Step 4: Simplify right side
    1,036.64x = 1,135,177.07
  5. Step 5: Solve for x
    x = 1,135,177.07/1,036.64
  6. Step 6: Final answer
    x = 1,095.05

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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.