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Finding the Fourth Proportional to 1,710.16, 2,565.26 and 477.54

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Solution

The fourth proportional to 1,710.16, 2,565.26 and 477.54 is: 716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.16 : 2,565.26 = 477.54 : x
  2. Step 2: Convert to fraction form
    1,710.16/2,565.26 = 477.54/x
  3. Step 3: Cross multiply
    1,710.16x = 2,565.26 × 477.54
  4. Step 4: Simplify right side
    1,710.16x = 1,225,014.26
  5. Step 5: Solve for x
    x = 1,225,014.26/1,710.16
  6. Step 6: Final answer
    x = 716.32

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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.