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Finding the Fourth Proportional to 652.26, 973.32 and 594.05

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Solution

The fourth proportional to 652.26, 973.32 and 594.05 is: 886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.26 : 973.32 = 594.05 : x
  2. Step 2: Convert to fraction form
    652.26/973.32 = 594.05/x
  3. Step 3: Cross multiply
    652.26x = 973.32 × 594.05
  4. Step 4: Simplify right side
    652.26x = 578,195.88
  5. Step 5: Solve for x
    x = 578,195.88/652.26
  6. Step 6: Final answer
    x = 886.45

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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.