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Finding the Fourth Proportional to 1,530.74, 2,295.63 and 435.14

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Solution

The fourth proportional to 1,530.74, 2,295.63 and 435.14 is: 652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.74 : 2,295.63 = 435.14 : x
  2. Step 2: Convert to fraction form
    1,530.74/2,295.63 = 435.14/x
  3. Step 3: Cross multiply
    1,530.74x = 2,295.63 × 435.14
  4. Step 4: Simplify right side
    1,530.74x = 998,920.44
  5. Step 5: Solve for x
    x = 998,920.44/1,530.74
  6. Step 6: Final answer
    x = 652.57

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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.