Home / 1,038.15-1,560.33-961.77

Finding the Fourth Proportional to 1,038.15, 1,560.33 and 961.77

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Solution

The fourth proportional to 1,038.15, 1,560.33 and 961.77 is: 1,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.15 : 1,560.33 = 961.77 : x
  2. Step 2: Convert to fraction form
    1,038.15/1,560.33 = 961.77/x
  3. Step 3: Cross multiply
    1,038.15x = 1,560.33 × 961.77
  4. Step 4: Simplify right side
    1,038.15x = 1,500,678.58
  5. Step 5: Solve for x
    x = 1,500,678.58/1,038.15
  6. Step 6: Final answer
    x = 1,445.53

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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.