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Finding the Fourth Proportional to 1,051.47, 1,577.96 and 402.20

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Solution

The fourth proportional to 1,051.47, 1,577.96 and 402.20 is: 603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.47 : 1,577.96 = 402.20 : x
  2. Step 2: Convert to fraction form
    1,051.47/1,577.96 = 402.20/x
  3. Step 3: Cross multiply
    1,051.47x = 1,577.96 × 402.20
  4. Step 4: Simplify right side
    1,051.47x = 634,655.51
  5. Step 5: Solve for x
    x = 634,655.51/1,051.47
  6. Step 6: Final answer
    x = 603.59

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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.