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Finding the Fourth Proportional to 1,564.76, 2,346.08 and 640.04

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Solution

The fourth proportional to 1,564.76, 2,346.08 and 640.04 is: 959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.76 : 2,346.08 = 640.04 : x
  2. Step 2: Convert to fraction form
    1,564.76/2,346.08 = 640.04/x
  3. Step 3: Cross multiply
    1,564.76x = 2,346.08 × 640.04
  4. Step 4: Simplify right side
    1,564.76x = 1,501,587.71
  5. Step 5: Solve for x
    x = 1,501,587.71/1,564.76
  6. Step 6: Final answer
    x = 959.63

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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.