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Finding the Fourth Proportional to 1,039.10, 1,558.91 and 577.40

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Solution

The fourth proportional to 1,039.10, 1,558.91 and 577.40 is: 866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.10 : 1,558.91 = 577.40 : x
  2. Step 2: Convert to fraction form
    1,039.10/1,558.91 = 577.40/x
  3. Step 3: Cross multiply
    1,039.10x = 1,558.91 × 577.40
  4. Step 4: Simplify right side
    1,039.10x = 900,114.63
  5. Step 5: Solve for x
    x = 900,114.63/1,039.10
  6. Step 6: Final answer
    x = 866.24

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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.