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Finding the Fourth Proportional to 1,804.64, 2,706.68 and 571.88

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Solution

The fourth proportional to 1,804.64, 2,706.68 and 571.88 is: 857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.64 : 2,706.68 = 571.88 : x
  2. Step 2: Convert to fraction form
    1,804.64/2,706.68 = 571.88/x
  3. Step 3: Cross multiply
    1,804.64x = 2,706.68 × 571.88
  4. Step 4: Simplify right side
    1,804.64x = 1,547,904.35
  5. Step 5: Solve for x
    x = 1,547,904.35/1,804.64
  6. Step 6: Final answer
    x = 857.74

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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.