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Finding the Fourth Proportional to 1,435.16, 2,152.99 and 741.63

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Solution

The fourth proportional to 1,435.16, 2,152.99 and 741.63 is: 1,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.16 : 2,152.99 = 741.63 : x
  2. Step 2: Convert to fraction form
    1,435.16/2,152.99 = 741.63/x
  3. Step 3: Cross multiply
    1,435.16x = 2,152.99 × 741.63
  4. Step 4: Simplify right side
    1,435.16x = 1,596,730.97
  5. Step 5: Solve for x
    x = 1,596,730.97/1,435.16
  6. Step 6: Final answer
    x = 1,112.58

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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.