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Finding the Fourth Proportional to 1,020.58, 1,530.93 and 290.22

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Solution

The fourth proportional to 1,020.58, 1,530.93 and 290.22 is: 435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.58 : 1,530.93 = 290.22 : x
  2. Step 2: Convert to fraction form
    1,020.58/1,530.93 = 290.22/x
  3. Step 3: Cross multiply
    1,020.58x = 1,530.93 × 290.22
  4. Step 4: Simplify right side
    1,020.58x = 444,306.50
  5. Step 5: Solve for x
    x = 444,306.50/1,020.58
  6. Step 6: Final answer
    x = 435.35

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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.