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Finding the Fourth Proportional to 1,572.14, 2,358.14 and 476.45

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Solution

The fourth proportional to 1,572.14, 2,358.14 and 476.45 is: 714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.14 : 2,358.14 = 476.45 : x
  2. Step 2: Convert to fraction form
    1,572.14/2,358.14 = 476.45/x
  3. Step 3: Cross multiply
    1,572.14x = 2,358.14 × 476.45
  4. Step 4: Simplify right side
    1,572.14x = 1,123,539.32
  5. Step 5: Solve for x
    x = 1,123,539.32/1,572.14
  6. Step 6: Final answer
    x = 714.66

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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.