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Finding the Fourth Proportional to 1,564.84, 2,347.26 and 410.50

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Solution

The fourth proportional to 1,564.84, 2,347.26 and 410.50 is: 615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.84 : 2,347.26 = 410.50 : x
  2. Step 2: Convert to fraction form
    1,564.84/2,347.26 = 410.50/x
  3. Step 3: Cross multiply
    1,564.84x = 2,347.26 × 410.50
  4. Step 4: Simplify right side
    1,564.84x = 963,550.23
  5. Step 5: Solve for x
    x = 963,550.23/1,564.84
  6. Step 6: Final answer
    x = 615.75

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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.