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Finding the Fourth Proportional to 1,070.76, 1,477.76 and 605.16

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Solution

The fourth proportional to 1,070.76, 1,477.76 and 605.16 is: 835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.76 : 1,477.76 = 605.16 : x
  2. Step 2: Convert to fraction form
    1,070.76/1,477.76 = 605.16/x
  3. Step 3: Cross multiply
    1,070.76x = 1,477.76 × 605.16
  4. Step 4: Simplify right side
    1,070.76x = 894,281.24
  5. Step 5: Solve for x
    x = 894,281.24/1,070.76
  6. Step 6: Final answer
    x = 835.18

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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.