Home / 1,566.24-2,348.55-470.46

Finding the Fourth Proportional to 1,566.24, 2,348.55 and 470.46

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Solution

The fourth proportional to 1,566.24, 2,348.55 and 470.46 is: 705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.24 : 2,348.55 = 470.46 : x
  2. Step 2: Convert to fraction form
    1,566.24/2,348.55 = 470.46/x
  3. Step 3: Cross multiply
    1,566.24x = 2,348.55 × 470.46
  4. Step 4: Simplify right side
    1,566.24x = 1,104,908.96
  5. Step 5: Solve for x
    x = 1,104,908.96/1,566.24
  6. Step 6: Final answer
    x = 705.45

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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.