Home / 1,566.08-2,349.10-470.40

Finding the Fourth Proportional to 1,566.08, 2,349.10 and 470.40

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Solution

The fourth proportional to 1,566.08, 2,349.10 and 470.40 is: 705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.08 : 2,349.10 = 470.40 : x
  2. Step 2: Convert to fraction form
    1,566.08/2,349.10 = 470.40/x
  3. Step 3: Cross multiply
    1,566.08x = 2,349.10 × 470.40
  4. Step 4: Simplify right side
    1,566.08x = 1,105,016.64
  5. Step 5: Solve for x
    x = 1,105,016.64/1,566.08
  6. Step 6: Final answer
    x = 705.59

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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.