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Finding the Fourth Proportional to 1,176.48, 1,623.60 and 652.50

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Solution

The fourth proportional to 1,176.48, 1,623.60 and 652.50 is: 900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.48 : 1,623.60 = 652.50 : x
  2. Step 2: Convert to fraction form
    1,176.48/1,623.60 = 652.50/x
  3. Step 3: Cross multiply
    1,176.48x = 1,623.60 × 652.50
  4. Step 4: Simplify right side
    1,176.48x = 1,059,399
  5. Step 5: Solve for x
    x = 1,059,399/1,176.48
  6. Step 6: Final answer
    x = 900.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.