Home / 1,566.08-2,349.04-470.44

Finding the Fourth Proportional to 1,566.08, 2,349.04 and 470.44

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Solution

The fourth proportional to 1,566.08, 2,349.04 and 470.44 is: 705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.08 : 2,349.04 = 470.44 : x
  2. Step 2: Convert to fraction form
    1,566.08/2,349.04 = 470.44/x
  3. Step 3: Cross multiply
    1,566.08x = 2,349.04 × 470.44
  4. Step 4: Simplify right side
    1,566.08x = 1,105,082.38
  5. Step 5: Solve for x
    x = 1,105,082.38/1,566.08
  6. Step 6: Final answer
    x = 705.64

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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.