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Finding the Fourth Proportional to 1,048.23, 1,572.33 and 585.32

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Solution

The fourth proportional to 1,048.23, 1,572.33 and 585.32 is: 877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.23 : 1,572.33 = 585.32 : x
  2. Step 2: Convert to fraction form
    1,048.23/1,572.33 = 585.32/x
  3. Step 3: Cross multiply
    1,048.23x = 1,572.33 × 585.32
  4. Step 4: Simplify right side
    1,048.23x = 920,308.33
  5. Step 5: Solve for x
    x = 920,308.33/1,048.23
  6. Step 6: Final answer
    x = 877.96

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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.