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Finding the Fourth Proportional to 1,035.86, 1,554.33 and 420.02

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Solution

The fourth proportional to 1,035.86, 1,554.33 and 420.02 is: 630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.86 : 1,554.33 = 420.02 : x
  2. Step 2: Convert to fraction form
    1,035.86/1,554.33 = 420.02/x
  3. Step 3: Cross multiply
    1,035.86x = 1,554.33 × 420.02
  4. Step 4: Simplify right side
    1,035.86x = 652,849.69
  5. Step 5: Solve for x
    x = 652,849.69/1,035.86
  6. Step 6: Final answer
    x = 630.25

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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.