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Finding the Fourth Proportional to 652.13, 981.72 and 595.63

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Solution

The fourth proportional to 652.13, 981.72 and 595.63 is: 896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.13 : 981.72 = 595.63 : x
  2. Step 2: Convert to fraction form
    652.13/981.72 = 595.63/x
  3. Step 3: Cross multiply
    652.13x = 981.72 × 595.63
  4. Step 4: Simplify right side
    652.13x = 584,738.91
  5. Step 5: Solve for x
    x = 584,738.91/652.13
  6. Step 6: Final answer
    x = 896.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.