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Finding the Fourth Proportional to 590.69, 883.44 and 526.14

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Solution

The fourth proportional to 590.69, 883.44 and 526.14 is: 786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.69 : 883.44 = 526.14 : x
  2. Step 2: Convert to fraction form
    590.69/883.44 = 526.14/x
  3. Step 3: Cross multiply
    590.69x = 883.44 × 526.14
  4. Step 4: Simplify right side
    590.69x = 464,813.12
  5. Step 5: Solve for x
    x = 464,813.12/590.69
  6. Step 6: Final answer
    x = 786.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.