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Finding the Fourth Proportional to 1,569.18, 2,354.70 and 596.10

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Solution

The fourth proportional to 1,569.18, 2,354.70 and 596.10 is: 894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.18 : 2,354.70 = 596.10 : x
  2. Step 2: Convert to fraction form
    1,569.18/2,354.70 = 596.10/x
  3. Step 3: Cross multiply
    1,569.18x = 2,354.70 × 596.10
  4. Step 4: Simplify right side
    1,569.18x = 1,403,636.67
  5. Step 5: Solve for x
    x = 1,403,636.67/1,569.18
  6. Step 6: Final answer
    x = 894.50

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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.