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Finding the Fourth Proportional to 1,564.61, 2,347.35 and 469.05

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Solution

The fourth proportional to 1,564.61, 2,347.35 and 469.05 is: 703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.61 : 2,347.35 = 469.05 : x
  2. Step 2: Convert to fraction form
    1,564.61/2,347.35 = 469.05/x
  3. Step 3: Cross multiply
    1,564.61x = 2,347.35 × 469.05
  4. Step 4: Simplify right side
    1,564.61x = 1,101,024.52
  5. Step 5: Solve for x
    x = 1,101,024.52/1,564.61
  6. Step 6: Final answer
    x = 703.71

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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.