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Finding the Fourth Proportional to 1,572.23, 2,358.47 and 476.69

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Solution

The fourth proportional to 1,572.23, 2,358.47 and 476.69 is: 715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.23 : 2,358.47 = 476.69 : x
  2. Step 2: Convert to fraction form
    1,572.23/2,358.47 = 476.69/x
  3. Step 3: Cross multiply
    1,572.23x = 2,358.47 × 476.69
  4. Step 4: Simplify right side
    1,572.23x = 1,124,244.89
  5. Step 5: Solve for x
    x = 1,124,244.89/1,572.23
  6. Step 6: Final answer
    x = 715.06

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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.