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Finding the Fourth Proportional to 1,565.09, 2,347.43 and 469.16

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Solution

The fourth proportional to 1,565.09, 2,347.43 and 469.16 is: 703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.09 : 2,347.43 = 469.16 : x
  2. Step 2: Convert to fraction form
    1,565.09/2,347.43 = 469.16/x
  3. Step 3: Cross multiply
    1,565.09x = 2,347.43 × 469.16
  4. Step 4: Simplify right side
    1,565.09x = 1,101,306.18
  5. Step 5: Solve for x
    x = 1,101,306.18/1,565.09
  6. Step 6: Final answer
    x = 703.67

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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.