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Finding the Fourth Proportional to 1,590.53, 2,384.37 and 603.15

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Solution

The fourth proportional to 1,590.53, 2,384.37 and 603.15 is: 904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.53 : 2,384.37 = 603.15 : x
  2. Step 2: Convert to fraction form
    1,590.53/2,384.37 = 603.15/x
  3. Step 3: Cross multiply
    1,590.53x = 2,384.37 × 603.15
  4. Step 4: Simplify right side
    1,590.53x = 1,438,132.77
  5. Step 5: Solve for x
    x = 1,438,132.77/1,590.53
  6. Step 6: Final answer
    x = 904.19

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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.