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Finding the Fourth Proportional to 1,020.34, 1,530.06 and 362.14

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Solution

The fourth proportional to 1,020.34, 1,530.06 and 362.14 is: 543.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.34 : 1,530.06 = 362.14 : x
  2. Step 2: Convert to fraction form
    1,020.34/1,530.06 = 362.14/x
  3. Step 3: Cross multiply
    1,020.34x = 1,530.06 × 362.14
  4. Step 4: Simplify right side
    1,020.34x = 554,095.93
  5. Step 5: Solve for x
    x = 554,095.93/1,020.34
  6. Step 6: Final answer
    x = 543.05

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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.