Home / 1,038.20-1,557.63-692.93

Finding the Fourth Proportional to 1,038.20, 1,557.63 and 692.93

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Solution

The fourth proportional to 1,038.20, 1,557.63 and 692.93 is: 1,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.20 : 1,557.63 = 692.93 : x
  2. Step 2: Convert to fraction form
    1,038.20/1,557.63 = 692.93/x
  3. Step 3: Cross multiply
    1,038.20x = 1,557.63 × 692.93
  4. Step 4: Simplify right side
    1,038.20x = 1,079,332.45
  5. Step 5: Solve for x
    x = 1,079,332.45/1,038.20
  6. Step 6: Final answer
    x = 1,039.62

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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.