Home / 1,566.38-2,349.02-470.46

Finding the Fourth Proportional to 1,566.38, 2,349.02 and 470.46

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Solution

The fourth proportional to 1,566.38, 2,349.02 and 470.46 is: 705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.38 : 2,349.02 = 470.46 : x
  2. Step 2: Convert to fraction form
    1,566.38/2,349.02 = 470.46/x
  3. Step 3: Cross multiply
    1,566.38x = 2,349.02 × 470.46
  4. Step 4: Simplify right side
    1,566.38x = 1,105,119.95
  5. Step 5: Solve for x
    x = 1,105,119.95/1,566.38
  6. Step 6: Final answer
    x = 705.52

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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.