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Finding the Fourth Proportional to 953.93, 1,316.68 and 581.12

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Solution

The fourth proportional to 953.93, 1,316.68 and 581.12 is: 802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.93 : 1,316.68 = 581.12 : x
  2. Step 2: Convert to fraction form
    953.93/1,316.68 = 581.12/x
  3. Step 3: Cross multiply
    953.93x = 1,316.68 × 581.12
  4. Step 4: Simplify right side
    953.93x = 765,145.98
  5. Step 5: Solve for x
    x = 765,145.98/953.93
  6. Step 6: Final answer
    x = 802.10

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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.