Home / 1,566.76-2,350.14-470.83

Finding the Fourth Proportional to 1,566.76, 2,350.14 and 470.83

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Solution

The fourth proportional to 1,566.76, 2,350.14 and 470.83 is: 706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.76 : 2,350.14 = 470.83 : x
  2. Step 2: Convert to fraction form
    1,566.76/2,350.14 = 470.83/x
  3. Step 3: Cross multiply
    1,566.76x = 2,350.14 × 470.83
  4. Step 4: Simplify right side
    1,566.76x = 1,106,516.42
  5. Step 5: Solve for x
    x = 1,106,516.42/1,566.76
  6. Step 6: Final answer
    x = 706.25

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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.