Home / 1,027.04-1,417.20-732.92

Finding the Fourth Proportional to 1,027.04, 1,417.20 and 732.92

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Solution

The fourth proportional to 1,027.04, 1,417.20 and 732.92 is: 1,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.04 : 1,417.20 = 732.92 : x
  2. Step 2: Convert to fraction form
    1,027.04/1,417.20 = 732.92/x
  3. Step 3: Cross multiply
    1,027.04x = 1,417.20 × 732.92
  4. Step 4: Simplify right side
    1,027.04x = 1,038,694.22
  5. Step 5: Solve for x
    x = 1,038,694.22/1,027.04
  6. Step 6: Final answer
    x = 1,011.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.