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Finding the Fourth Proportional to 985.14, 1,358.70 and 592.08

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Solution

The fourth proportional to 985.14, 1,358.70 and 592.08 is: 816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.14 : 1,358.70 = 592.08 : x
  2. Step 2: Convert to fraction form
    985.14/1,358.70 = 592.08/x
  3. Step 3: Cross multiply
    985.14x = 1,358.70 × 592.08
  4. Step 4: Simplify right side
    985.14x = 804,459.10
  5. Step 5: Solve for x
    x = 804,459.10/985.14
  6. Step 6: Final answer
    x = 816.59

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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.