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Finding the Fourth Proportional to 1,021.06, 1,530.33 and 473.14

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Solution

The fourth proportional to 1,021.06, 1,530.33 and 473.14 is: 709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.06 : 1,530.33 = 473.14 : x
  2. Step 2: Convert to fraction form
    1,021.06/1,530.33 = 473.14/x
  3. Step 3: Cross multiply
    1,021.06x = 1,530.33 × 473.14
  4. Step 4: Simplify right side
    1,021.06x = 724,060.34
  5. Step 5: Solve for x
    x = 724,060.34/1,021.06
  6. Step 6: Final answer
    x = 709.13

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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.