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Finding the Fourth Proportional to 904.83, 1,248.75 and 591

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Solution

The fourth proportional to 904.83, 1,248.75 and 591 is: 815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.83 : 1,248.75 = 591 : x
  2. Step 2: Convert to fraction form
    904.83/1,248.75 = 591/x
  3. Step 3: Cross multiply
    904.83x = 1,248.75 × 591
  4. Step 4: Simplify right side
    904.83x = 738,011.25
  5. Step 5: Solve for x
    x = 738,011.25/904.83
  6. Step 6: Final answer
    x = 815.64

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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.