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Finding the Fourth Proportional to 1,572.41, 2,358.86 and 476.64

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Solution

The fourth proportional to 1,572.41, 2,358.86 and 476.64 is: 715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.41 : 2,358.86 = 476.64 : x
  2. Step 2: Convert to fraction form
    1,572.41/2,358.86 = 476.64/x
  3. Step 3: Cross multiply
    1,572.41x = 2,358.86 × 476.64
  4. Step 4: Simplify right side
    1,572.41x = 1,124,324.65
  5. Step 5: Solve for x
    x = 1,124,324.65/1,572.41
  6. Step 6: Final answer
    x = 715.04

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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.