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Finding the Fourth Proportional to 1,530.62, 2,295.99 and 435.08

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Solution

The fourth proportional to 1,530.62, 2,295.99 and 435.08 is: 652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.62 : 2,295.99 = 435.08 : x
  2. Step 2: Convert to fraction form
    1,530.62/2,295.99 = 435.08/x
  3. Step 3: Cross multiply
    1,530.62x = 2,295.99 × 435.08
  4. Step 4: Simplify right side
    1,530.62x = 998,939.33
  5. Step 5: Solve for x
    x = 998,939.33/1,530.62
  6. Step 6: Final answer
    x = 652.64

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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.