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Finding the Fourth Proportional to 1,121.02, 1,681.66 and 471.60

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Solution

The fourth proportional to 1,121.02, 1,681.66 and 471.60 is: 707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.02 : 1,681.66 = 471.60 : x
  2. Step 2: Convert to fraction form
    1,121.02/1,681.66 = 471.60/x
  3. Step 3: Cross multiply
    1,121.02x = 1,681.66 × 471.60
  4. Step 4: Simplify right side
    1,121.02x = 793,070.86
  5. Step 5: Solve for x
    x = 793,070.86/1,121.02
  6. Step 6: Final answer
    x = 707.45

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