Home / 1,052.07-1,577.70-402.45

Finding the Fourth Proportional to 1,052.07, 1,577.70 and 402.45

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Solution

The fourth proportional to 1,052.07, 1,577.70 and 402.45 is: 603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.07 : 1,577.70 = 402.45 : x
  2. Step 2: Convert to fraction form
    1,052.07/1,577.70 = 402.45/x
  3. Step 3: Cross multiply
    1,052.07x = 1,577.70 × 402.45
  4. Step 4: Simplify right side
    1,052.07x = 634,945.37
  5. Step 5: Solve for x
    x = 634,945.37/1,052.07
  6. Step 6: Final answer
    x = 603.52

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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.