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Finding the Fourth Proportional to 897.13, 1,237.71 and 524.05

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Solution

The fourth proportional to 897.13, 1,237.71 and 524.05 is: 723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.13 : 1,237.71 = 524.05 : x
  2. Step 2: Convert to fraction form
    897.13/1,237.71 = 524.05/x
  3. Step 3: Cross multiply
    897.13x = 1,237.71 × 524.05
  4. Step 4: Simplify right side
    897.13x = 648,621.93
  5. Step 5: Solve for x
    x = 648,621.93/897.13
  6. Step 6: Final answer
    x = 723.00

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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.