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Finding the Fourth Proportional to 1,655.60, 2,483.34 and 501.32

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Solution

The fourth proportional to 1,655.60, 2,483.34 and 501.32 is: 751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.60 : 2,483.34 = 501.32 : x
  2. Step 2: Convert to fraction form
    1,655.60/2,483.34 = 501.32/x
  3. Step 3: Cross multiply
    1,655.60x = 2,483.34 × 501.32
  4. Step 4: Simplify right side
    1,655.60x = 1,244,948.01
  5. Step 5: Solve for x
    x = 1,244,948.01/1,655.60
  6. Step 6: Final answer
    x = 751.96

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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.