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Finding the Fourth Proportional to 1,026.47, 1,539.25 and 410.02

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Solution

The fourth proportional to 1,026.47, 1,539.25 and 410.02 is: 614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.47 : 1,539.25 = 410.02 : x
  2. Step 2: Convert to fraction form
    1,026.47/1,539.25 = 410.02/x
  3. Step 3: Cross multiply
    1,026.47x = 1,539.25 × 410.02
  4. Step 4: Simplify right side
    1,026.47x = 631,118.41
  5. Step 5: Solve for x
    x = 631,118.41/1,026.47
  6. Step 6: Final answer
    x = 614.84

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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.