Home / 1,566.46-2,349.67-470.77

Finding the Fourth Proportional to 1,566.46, 2,349.67 and 470.77

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Solution

The fourth proportional to 1,566.46, 2,349.67 and 470.77 is: 706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.46 : 2,349.67 = 470.77 : x
  2. Step 2: Convert to fraction form
    1,566.46/2,349.67 = 470.77/x
  3. Step 3: Cross multiply
    1,566.46x = 2,349.67 × 470.77
  4. Step 4: Simplify right side
    1,566.46x = 1,106,151.79
  5. Step 5: Solve for x
    x = 1,106,151.79/1,566.46
  6. Step 6: Final answer
    x = 706.15

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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.