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Finding the Fourth Proportional to 775.66, 1,070.00 and 588.84

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Solution

The fourth proportional to 775.66, 1,070.00 and 588.84 is: 812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.66 : 1,070.00 = 588.84 : x
  2. Step 2: Convert to fraction form
    775.66/1,070.00 = 588.84/x
  3. Step 3: Cross multiply
    775.66x = 1,070.00 × 588.84
  4. Step 4: Simplify right side
    775.66x = 630,050.51
  5. Step 5: Solve for x
    x = 630,050.51/775.66
  6. Step 6: Final answer
    x = 812.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.