Home / 1,177.27-1,624.78-705.16

Finding the Fourth Proportional to 1,177.27, 1,624.78 and 705.16

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Solution

The fourth proportional to 1,177.27, 1,624.78 and 705.16 is: 973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.27 : 1,624.78 = 705.16 : x
  2. Step 2: Convert to fraction form
    1,177.27/1,624.78 = 705.16/x
  3. Step 3: Cross multiply
    1,177.27x = 1,624.78 × 705.16
  4. Step 4: Simplify right side
    1,177.27x = 1,145,719.67
  5. Step 5: Solve for x
    x = 1,145,719.67/1,177.27
  6. Step 6: Final answer
    x = 973.20

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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.