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Finding the Fourth Proportional to 1,665.60, 2,498.17 and 432.93

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Solution

The fourth proportional to 1,665.60, 2,498.17 and 432.93 is: 649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.60 : 2,498.17 = 432.93 : x
  2. Step 2: Convert to fraction form
    1,665.60/2,498.17 = 432.93/x
  3. Step 3: Cross multiply
    1,665.60x = 2,498.17 × 432.93
  4. Step 4: Simplify right side
    1,665.60x = 1,081,532.74
  5. Step 5: Solve for x
    x = 1,081,532.74/1,665.60
  6. Step 6: Final answer
    x = 649.34

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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.