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Finding the Fourth Proportional to 1,357.75, 2,035.48 and 577.72

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Solution

The fourth proportional to 1,357.75, 2,035.48 and 577.72 is: 866.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.75 : 2,035.48 = 577.72 : x
  2. Step 2: Convert to fraction form
    1,357.75/2,035.48 = 577.72/x
  3. Step 3: Cross multiply
    1,357.75x = 2,035.48 × 577.72
  4. Step 4: Simplify right side
    1,357.75x = 1,175,937.51
  5. Step 5: Solve for x
    x = 1,175,937.51/1,357.75
  6. Step 6: Final answer
    x = 866.09

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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.