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Finding the Fourth Proportional to 1,061.54, 1,590.23 and 597.90

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Solution

The fourth proportional to 1,061.54, 1,590.23 and 597.90 is: 895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.54 : 1,590.23 = 597.90 : x
  2. Step 2: Convert to fraction form
    1,061.54/1,590.23 = 597.90/x
  3. Step 3: Cross multiply
    1,061.54x = 1,590.23 × 597.90
  4. Step 4: Simplify right side
    1,061.54x = 950,795.53
  5. Step 5: Solve for x
    x = 950,795.53/1,061.54
  6. Step 6: Final answer
    x = 895.68

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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.