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Finding the Fourth Proportional to 1,051.62, 1,577.61 and 434.98

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Solution

The fourth proportional to 1,051.62, 1,577.61 and 434.98 is: 652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.62 : 1,577.61 = 434.98 : x
  2. Step 2: Convert to fraction form
    1,051.62/1,577.61 = 434.98/x
  3. Step 3: Cross multiply
    1,051.62x = 1,577.61 × 434.98
  4. Step 4: Simplify right side
    1,051.62x = 686,228.80
  5. Step 5: Solve for x
    x = 686,228.80/1,051.62
  6. Step 6: Final answer
    x = 652.54

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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.