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Finding the Fourth Proportional to 1,021.18, 1,530.91 and 465.69

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Solution

The fourth proportional to 1,021.18, 1,530.91 and 465.69 is: 698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.18 : 1,530.91 = 465.69 : x
  2. Step 2: Convert to fraction form
    1,021.18/1,530.91 = 465.69/x
  3. Step 3: Cross multiply
    1,021.18x = 1,530.91 × 465.69
  4. Step 4: Simplify right side
    1,021.18x = 712,934.76
  5. Step 5: Solve for x
    x = 712,934.76/1,021.18
  6. Step 6: Final answer
    x = 698.15

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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.