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Finding the Fourth Proportional to 1,020.51, 1,530.86 and 290.10

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Solution

The fourth proportional to 1,020.51, 1,530.86 and 290.10 is: 435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.51 : 1,530.86 = 290.10 : x
  2. Step 2: Convert to fraction form
    1,020.51/1,530.86 = 290.10/x
  3. Step 3: Cross multiply
    1,020.51x = 1,530.86 × 290.10
  4. Step 4: Simplify right side
    1,020.51x = 444,101.04
  5. Step 5: Solve for x
    x = 444,101.04/1,020.51
  6. Step 6: Final answer
    x = 435.18

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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.