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Finding the Fourth Proportional to 1,670.65, 2,506.16 and 574.89

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Solution

The fourth proportional to 1,670.65, 2,506.16 and 574.89 is: 862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.65 : 2,506.16 = 574.89 : x
  2. Step 2: Convert to fraction form
    1,670.65/2,506.16 = 574.89/x
  3. Step 3: Cross multiply
    1,670.65x = 2,506.16 × 574.89
  4. Step 4: Simplify right side
    1,670.65x = 1,440,766.32
  5. Step 5: Solve for x
    x = 1,440,766.32/1,670.65
  6. Step 6: Final answer
    x = 862.40

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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.