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Finding the Fourth Proportional to 870.23, 1,302.72 and 561.47

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Solution

The fourth proportional to 870.23, 1,302.72 and 561.47 is: 840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.23 : 1,302.72 = 561.47 : x
  2. Step 2: Convert to fraction form
    870.23/1,302.72 = 561.47/x
  3. Step 3: Cross multiply
    870.23x = 1,302.72 × 561.47
  4. Step 4: Simplify right side
    870.23x = 731,429.58
  5. Step 5: Solve for x
    x = 731,429.58/870.23
  6. Step 6: Final answer
    x = 840.50

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Why These Related Problems?

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