Home / 1,177.12-1,624.35-735.00

Finding the Fourth Proportional to 1,177.12, 1,624.35 and 735.00

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Solution

The fourth proportional to 1,177.12, 1,624.35 and 735.00 is: 1,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.12 : 1,624.35 = 735.00 : x
  2. Step 2: Convert to fraction form
    1,177.12/1,624.35 = 735.00/x
  3. Step 3: Cross multiply
    1,177.12x = 1,624.35 × 735.00
  4. Step 4: Simplify right side
    1,177.12x = 1,193,889.13
  5. Step 5: Solve for x
    x = 1,193,889.13/1,177.12
  6. Step 6: Final answer
    x = 1,014.25

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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.