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Finding the Fourth Proportional to 1,710.64, 2,565.97 and 478.06

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Solution

The fourth proportional to 1,710.64, 2,565.97 and 478.06 is: 717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.64 : 2,565.97 = 478.06 : x
  2. Step 2: Convert to fraction form
    1,710.64/2,565.97 = 478.06/x
  3. Step 3: Cross multiply
    1,710.64x = 2,565.97 × 478.06
  4. Step 4: Simplify right side
    1,710.64x = 1,226,697.38
  5. Step 5: Solve for x
    x = 1,226,697.38/1,710.64
  6. Step 6: Final answer
    x = 717.10

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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.