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Finding the Fourth Proportional to 1,030.65, 1,546.08 and 300.03

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Solution

The fourth proportional to 1,030.65, 1,546.08 and 300.03 is: 450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.65 : 1,546.08 = 300.03 : x
  2. Step 2: Convert to fraction form
    1,030.65/1,546.08 = 300.03/x
  3. Step 3: Cross multiply
    1,030.65x = 1,546.08 × 300.03
  4. Step 4: Simplify right side
    1,030.65x = 463,870.38
  5. Step 5: Solve for x
    x = 463,870.38/1,030.65
  6. Step 6: Final answer
    x = 450.08

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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.