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Finding the Fourth Proportional to 652.48, 972.80 and 603.84

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Solution

The fourth proportional to 652.48, 972.80 and 603.84 is: 900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.48 : 972.80 = 603.84 : x
  2. Step 2: Convert to fraction form
    652.48/972.80 = 603.84/x
  3. Step 3: Cross multiply
    652.48x = 972.80 × 603.84
  4. Step 4: Simplify right side
    652.48x = 587,415.55
  5. Step 5: Solve for x
    x = 587,415.55/652.48
  6. Step 6: Final answer
    x = 900.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.