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Finding the Fourth Proportional to 1,357.84, 2,035.20 and 535.84

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Solution

The fourth proportional to 1,357.84, 2,035.20 and 535.84 is: 803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.84 : 2,035.20 = 535.84 : x
  2. Step 2: Convert to fraction form
    1,357.84/2,035.20 = 535.84/x
  3. Step 3: Cross multiply
    1,357.84x = 2,035.20 × 535.84
  4. Step 4: Simplify right side
    1,357.84x = 1,090,541.57
  5. Step 5: Solve for x
    x = 1,090,541.57/1,357.84
  6. Step 6: Final answer
    x = 803.14

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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.