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Finding the Fourth Proportional to 1,569.94, 2,354.01 and 473.98

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Solution

The fourth proportional to 1,569.94, 2,354.01 and 473.98 is: 710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.94 : 2,354.01 = 473.98 : x
  2. Step 2: Convert to fraction form
    1,569.94/2,354.01 = 473.98/x
  3. Step 3: Cross multiply
    1,569.94x = 2,354.01 × 473.98
  4. Step 4: Simplify right side
    1,569.94x = 1,115,753.66
  5. Step 5: Solve for x
    x = 1,115,753.66/1,569.94
  6. Step 6: Final answer
    x = 710.70

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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.