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Finding the Fourth Proportional to 945.70, 1,304.98 and 526.01

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Solution

The fourth proportional to 945.70, 1,304.98 and 526.01 is: 725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.70 : 1,304.98 = 526.01 : x
  2. Step 2: Convert to fraction form
    945.70/1,304.98 = 526.01/x
  3. Step 3: Cross multiply
    945.70x = 1,304.98 × 526.01
  4. Step 4: Simplify right side
    945.70x = 686,424.69
  5. Step 5: Solve for x
    x = 686,424.69/945.70
  6. Step 6: Final answer
    x = 725.84

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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.