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Finding the Fourth Proportional to 1,710.34, 2,565.47 and 477.70

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Solution

The fourth proportional to 1,710.34, 2,565.47 and 477.70 is: 716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.34 : 2,565.47 = 477.70 : x
  2. Step 2: Convert to fraction form
    1,710.34/2,565.47 = 477.70/x
  3. Step 3: Cross multiply
    1,710.34x = 2,565.47 × 477.70
  4. Step 4: Simplify right side
    1,710.34x = 1,225,525.02
  5. Step 5: Solve for x
    x = 1,225,525.02/1,710.34
  6. Step 6: Final answer
    x = 716.54

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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.