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Finding the Fourth Proportional to 1,312.04, 1,968.51 and 582.13

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Solution

The fourth proportional to 1,312.04, 1,968.51 and 582.13 is: 873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.04 : 1,968.51 = 582.13 : x
  2. Step 2: Convert to fraction form
    1,312.04/1,968.51 = 582.13/x
  3. Step 3: Cross multiply
    1,312.04x = 1,968.51 × 582.13
  4. Step 4: Simplify right side
    1,312.04x = 1,145,925.99
  5. Step 5: Solve for x
    x = 1,145,925.99/1,312.04
  6. Step 6: Final answer
    x = 873.39

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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.