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Finding the Fourth Proportional to 1,804.16, 2,706.57 and 571.65

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Solution

The fourth proportional to 1,804.16, 2,706.57 and 571.65 is: 857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.16 : 2,706.57 = 571.65 : x
  2. Step 2: Convert to fraction form
    1,804.16/2,706.57 = 571.65/x
  3. Step 3: Cross multiply
    1,804.16x = 2,706.57 × 571.65
  4. Step 4: Simplify right side
    1,804.16x = 1,547,210.74
  5. Step 5: Solve for x
    x = 1,547,210.74/1,804.16
  6. Step 6: Final answer
    x = 857.58

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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.