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Finding the Fourth Proportional to 1,064.37, 1,595.84 and 577.77

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Solution

The fourth proportional to 1,064.37, 1,595.84 and 577.77 is: 866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.37 : 1,595.84 = 577.77 : x
  2. Step 2: Convert to fraction form
    1,064.37/1,595.84 = 577.77/x
  3. Step 3: Cross multiply
    1,064.37x = 1,595.84 × 577.77
  4. Step 4: Simplify right side
    1,064.37x = 922,019.60
  5. Step 5: Solve for x
    x = 922,019.60/1,064.37
  6. Step 6: Final answer
    x = 866.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.