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Finding the Fourth Proportional to 1,582.40, 2,374.32 and 658.64

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Solution

The fourth proportional to 1,582.40, 2,374.32 and 658.64 is: 988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.40 : 2,374.32 = 658.64 : x
  2. Step 2: Convert to fraction form
    1,582.40/2,374.32 = 658.64/x
  3. Step 3: Cross multiply
    1,582.40x = 2,374.32 × 658.64
  4. Step 4: Simplify right side
    1,582.40x = 1,563,822.12
  5. Step 5: Solve for x
    x = 1,563,822.12/1,582.40
  6. Step 6: Final answer
    x = 988.26

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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.