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Finding the Fourth Proportional to 1,119.10, 1,677.03 and 570.52

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Solution

The fourth proportional to 1,119.10, 1,677.03 and 570.52 is: 854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.10 : 1,677.03 = 570.52 : x
  2. Step 2: Convert to fraction form
    1,119.10/1,677.03 = 570.52/x
  3. Step 3: Cross multiply
    1,119.10x = 1,677.03 × 570.52
  4. Step 4: Simplify right side
    1,119.10x = 956,779.16
  5. Step 5: Solve for x
    x = 956,779.16/1,119.10
  6. Step 6: Final answer
    x = 854.95

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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.