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Finding the Fourth Proportional to 1,020.12, 1,530.48 and 500.70

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Solution

The fourth proportional to 1,020.12, 1,530.48 and 500.70 is: 751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.12 : 1,530.48 = 500.70 : x
  2. Step 2: Convert to fraction form
    1,020.12/1,530.48 = 500.70/x
  3. Step 3: Cross multiply
    1,020.12x = 1,530.48 × 500.70
  4. Step 4: Simplify right side
    1,020.12x = 766,311.34
  5. Step 5: Solve for x
    x = 766,311.34/1,020.12
  6. Step 6: Final answer
    x = 751.20

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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.