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Finding the Fourth Proportional to 917.58, 1,266.26 and 497.93

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Solution

The fourth proportional to 917.58, 1,266.26 and 497.93 is: 687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.58 : 1,266.26 = 497.93 : x
  2. Step 2: Convert to fraction form
    917.58/1,266.26 = 497.93/x
  3. Step 3: Cross multiply
    917.58x = 1,266.26 × 497.93
  4. Step 4: Simplify right side
    917.58x = 630,509.52
  5. Step 5: Solve for x
    x = 630,509.52/917.58
  6. Step 6: Final answer
    x = 687.14

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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.