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Finding the Fourth Proportional to 1,569.37, 2,352.66 and 596.16

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Solution

The fourth proportional to 1,569.37, 2,352.66 and 596.16 is: 893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.37 : 2,352.66 = 596.16 : x
  2. Step 2: Convert to fraction form
    1,569.37/2,352.66 = 596.16/x
  3. Step 3: Cross multiply
    1,569.37x = 2,352.66 × 596.16
  4. Step 4: Simplify right side
    1,569.37x = 1,402,550.02
  5. Step 5: Solve for x
    x = 1,402,550.02/1,569.37
  6. Step 6: Final answer
    x = 893.70

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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.