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Finding the Fourth Proportional to 1,582.66, 2,374.58 and 658.30

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Solution

The fourth proportional to 1,582.66, 2,374.58 and 658.30 is: 987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.66 : 2,374.58 = 658.30 : x
  2. Step 2: Convert to fraction form
    1,582.66/2,374.58 = 658.30/x
  3. Step 3: Cross multiply
    1,582.66x = 2,374.58 × 658.30
  4. Step 4: Simplify right side
    1,582.66x = 1,563,186.01
  5. Step 5: Solve for x
    x = 1,563,186.01/1,582.66
  6. Step 6: Final answer
    x = 987.70

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1.5x scale

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.