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Finding the Fourth Proportional to 1,477.40, 2,214.66 and 707.48

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Solution

The fourth proportional to 1,477.40, 2,214.66 and 707.48 is: 1,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.40 : 2,214.66 = 707.48 : x
  2. Step 2: Convert to fraction form
    1,477.40/2,214.66 = 707.48/x
  3. Step 3: Cross multiply
    1,477.40x = 2,214.66 × 707.48
  4. Step 4: Simplify right side
    1,477.40x = 1,566,827.66
  5. Step 5: Solve for x
    x = 1,566,827.66/1,477.40
  6. Step 6: Final answer
    x = 1,060.53

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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.