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Finding the Fourth Proportional to 1,035.85, 1,429.48 and 570.10

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Solution

The fourth proportional to 1,035.85, 1,429.48 and 570.10 is: 786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.85 : 1,429.48 = 570.10 : x
  2. Step 2: Convert to fraction form
    1,035.85/1,429.48 = 570.10/x
  3. Step 3: Cross multiply
    1,035.85x = 1,429.48 × 570.10
  4. Step 4: Simplify right side
    1,035.85x = 814,941.55
  5. Step 5: Solve for x
    x = 814,941.55/1,035.85
  6. Step 6: Final answer
    x = 786.74

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