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Finding the Fourth Proportional to 952.64, 1,314.08 and 584

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Solution

The fourth proportional to 952.64, 1,314.08 and 584 is: 805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.64 : 1,314.08 = 584 : x
  2. Step 2: Convert to fraction form
    952.64/1,314.08 = 584/x
  3. Step 3: Cross multiply
    952.64x = 1,314.08 × 584
  4. Step 4: Simplify right side
    952.64x = 767,422.72
  5. Step 5: Solve for x
    x = 767,422.72/952.64
  6. Step 6: Final answer
    x = 805.57

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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.