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Finding the Fourth Proportional to 1,065.56, 1,595.04 and 577.40

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Solution

The fourth proportional to 1,065.56, 1,595.04 and 577.40 is: 864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.56 : 1,595.04 = 577.40 : x
  2. Step 2: Convert to fraction form
    1,065.56/1,595.04 = 577.40/x
  3. Step 3: Cross multiply
    1,065.56x = 1,595.04 × 577.40
  4. Step 4: Simplify right side
    1,065.56x = 920,976.10
  5. Step 5: Solve for x
    x = 920,976.10/1,065.56
  6. Step 6: Final answer
    x = 864.31

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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.