Home / 1,257.04-1,886.10-527.14

Finding the Fourth Proportional to 1,257.04, 1,886.10 and 527.14

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Solution

The fourth proportional to 1,257.04, 1,886.10 and 527.14 is: 790.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.04 : 1,886.10 = 527.14 : x
  2. Step 2: Convert to fraction form
    1,257.04/1,886.10 = 527.14/x
  3. Step 3: Cross multiply
    1,257.04x = 1,886.10 × 527.14
  4. Step 4: Simplify right side
    1,257.04x = 994,238.75
  5. Step 5: Solve for x
    x = 994,238.75/1,257.04
  6. Step 6: Final answer
    x = 790.94

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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.