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Finding the Fourth Proportional to 1,020.60, 1,530.92 and 290.19

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Solution

The fourth proportional to 1,020.60, 1,530.92 and 290.19 is: 435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.60 : 1,530.92 = 290.19 : x
  2. Step 2: Convert to fraction form
    1,020.60/1,530.92 = 290.19/x
  3. Step 3: Cross multiply
    1,020.60x = 1,530.92 × 290.19
  4. Step 4: Simplify right side
    1,020.60x = 444,261.96
  5. Step 5: Solve for x
    x = 444,261.96/1,020.60
  6. Step 6: Final answer
    x = 435.30

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Double scale
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1.5x scale

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.