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Finding the Fourth Proportional to 1,710.16, 2,565.32 and 477.65

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Solution

The fourth proportional to 1,710.16, 2,565.32 and 477.65 is: 716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.16 : 2,565.32 = 477.65 : x
  2. Step 2: Convert to fraction form
    1,710.16/2,565.32 = 477.65/x
  3. Step 3: Cross multiply
    1,710.16x = 2,565.32 × 477.65
  4. Step 4: Simplify right side
    1,710.16x = 1,225,317.38
  5. Step 5: Solve for x
    x = 1,225,317.38/1,710.16
  6. Step 6: Final answer
    x = 716.49

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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.