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Finding the Fourth Proportional to 1,036.02, 1,554.04 and 305.60

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Solution

The fourth proportional to 1,036.02, 1,554.04 and 305.60 is: 458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.02 : 1,554.04 = 305.60 : x
  2. Step 2: Convert to fraction form
    1,036.02/1,554.04 = 305.60/x
  3. Step 3: Cross multiply
    1,036.02x = 1,554.04 × 305.60
  4. Step 4: Simplify right side
    1,036.02x = 474,914.62
  5. Step 5: Solve for x
    x = 474,914.62/1,036.02
  6. Step 6: Final answer
    x = 458.40

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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.