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Finding the Fourth Proportional to 1,530.49, 2,295.73 and 434.87

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Solution

The fourth proportional to 1,530.49, 2,295.73 and 434.87 is: 652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.49 : 2,295.73 = 434.87 : x
  2. Step 2: Convert to fraction form
    1,530.49/2,295.73 = 434.87/x
  3. Step 3: Cross multiply
    1,530.49x = 2,295.73 × 434.87
  4. Step 4: Simplify right side
    1,530.49x = 998,332.63
  5. Step 5: Solve for x
    x = 998,332.63/1,530.49
  6. Step 6: Final answer
    x = 652.30

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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.