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Finding the Fourth Proportional to 870.23, 1,201.40 and 576

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Solution

The fourth proportional to 870.23, 1,201.40 and 576 is: 795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.23 : 1,201.40 = 576 : x
  2. Step 2: Convert to fraction form
    870.23/1,201.40 = 576/x
  3. Step 3: Cross multiply
    870.23x = 1,201.40 × 576
  4. Step 4: Simplify right side
    870.23x = 692,006.40
  5. Step 5: Solve for x
    x = 692,006.40/870.23
  6. Step 6: Final answer
    x = 795.20

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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.