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Finding the Fourth Proportional to 1,564.71, 2,347.07 and 469.08

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Solution

The fourth proportional to 1,564.71, 2,347.07 and 469.08 is: 703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.71 : 2,347.07 = 469.08 : x
  2. Step 2: Convert to fraction form
    1,564.71/2,347.07 = 469.08/x
  3. Step 3: Cross multiply
    1,564.71x = 2,347.07 × 469.08
  4. Step 4: Simplify right side
    1,564.71x = 1,100,955.97
  5. Step 5: Solve for x
    x = 1,100,955.97/1,564.71
  6. Step 6: Final answer
    x = 703.62

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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.