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Finding the Fourth Proportional to 1,062.94, 1,595.44 and 577.04

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Solution

The fourth proportional to 1,062.94, 1,595.44 and 577.04 is: 866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.94 : 1,595.44 = 577.04 : x
  2. Step 2: Convert to fraction form
    1,062.94/1,595.44 = 577.04/x
  3. Step 3: Cross multiply
    1,062.94x = 1,595.44 × 577.04
  4. Step 4: Simplify right side
    1,062.94x = 920,632.70
  5. Step 5: Solve for x
    x = 920,632.70/1,062.94
  6. Step 6: Final answer
    x = 866.12

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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.