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Finding the Fourth Proportional to 652.49, 973.68 and 583.25

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Solution

The fourth proportional to 652.49, 973.68 and 583.25 is: 870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.49 : 973.68 = 583.25 : x
  2. Step 2: Convert to fraction form
    652.49/973.68 = 583.25/x
  3. Step 3: Cross multiply
    652.49x = 973.68 × 583.25
  4. Step 4: Simplify right side
    652.49x = 567,895.94
  5. Step 5: Solve for x
    x = 567,895.94/652.49
  6. Step 6: Final answer
    x = 870.35

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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.