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Finding the Fourth Proportional to 1,007.19, 1,510.85 and 421.60

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Solution

The fourth proportional to 1,007.19, 1,510.85 and 421.60 is: 632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.19 : 1,510.85 = 421.60 : x
  2. Step 2: Convert to fraction form
    1,007.19/1,510.85 = 421.60/x
  3. Step 3: Cross multiply
    1,007.19x = 1,510.85 × 421.60
  4. Step 4: Simplify right side
    1,007.19x = 636,971.81
  5. Step 5: Solve for x
    x = 636,971.81/1,007.19
  6. Step 6: Final answer
    x = 632.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.