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Finding the Fourth Proportional to 1,565.69, 2,348.54 and 470.03

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Solution

The fourth proportional to 1,565.69, 2,348.54 and 470.03 is: 705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.69 : 2,348.54 = 470.03 : x
  2. Step 2: Convert to fraction form
    1,565.69/2,348.54 = 470.03/x
  3. Step 3: Cross multiply
    1,565.69x = 2,348.54 × 470.03
  4. Step 4: Simplify right side
    1,565.69x = 1,103,884.26
  5. Step 5: Solve for x
    x = 1,103,884.26/1,565.69
  6. Step 6: Final answer
    x = 705.05

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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.