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Finding the Fourth Proportional to 870.63, 1,201.42 and 497.59

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Solution

The fourth proportional to 870.63, 1,201.42 and 497.59 is: 686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.63 : 1,201.42 = 497.59 : x
  2. Step 2: Convert to fraction form
    870.63/1,201.42 = 497.59/x
  3. Step 3: Cross multiply
    870.63x = 1,201.42 × 497.59
  4. Step 4: Simplify right side
    870.63x = 597,814.58
  5. Step 5: Solve for x
    x = 597,814.58/870.63
  6. Step 6: Final answer
    x = 686.65

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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.