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Finding the Fourth Proportional to 1,046.64, 1,568.16 and 584.32

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Solution

The fourth proportional to 1,046.64, 1,568.16 and 584.32 is: 875.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.64 : 1,568.16 = 584.32 : x
  2. Step 2: Convert to fraction form
    1,046.64/1,568.16 = 584.32/x
  3. Step 3: Cross multiply
    1,046.64x = 1,568.16 × 584.32
  4. Step 4: Simplify right side
    1,046.64x = 916,307.25
  5. Step 5: Solve for x
    x = 916,307.25/1,046.64
  6. Step 6: Final answer
    x = 875.48

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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.