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Finding the Fourth Proportional to 1,565.33, 2,348.44 and 470.00

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Solution

The fourth proportional to 1,565.33, 2,348.44 and 470.00 is: 705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.33 : 2,348.44 = 470.00 : x
  2. Step 2: Convert to fraction form
    1,565.33/2,348.44 = 470.00/x
  3. Step 3: Cross multiply
    1,565.33x = 2,348.44 × 470.00
  4. Step 4: Simplify right side
    1,565.33x = 1,103,774.14
  5. Step 5: Solve for x
    x = 1,103,774.14/1,565.33
  6. Step 6: Final answer
    x = 705.14

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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.