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Finding the Fourth Proportional to 1,566.20, 2,347.92 and 592.99

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Solution

The fourth proportional to 1,566.20, 2,347.92 and 592.99 is: 888.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.20 : 2,347.92 = 592.99 : x
  2. Step 2: Convert to fraction form
    1,566.20/2,347.92 = 592.99/x
  3. Step 3: Cross multiply
    1,566.20x = 2,347.92 × 592.99
  4. Step 4: Simplify right side
    1,566.20x = 1,392,287.21
  5. Step 5: Solve for x
    x = 1,392,287.21/1,566.20
  6. Step 6: Final answer
    x = 888.96

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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.