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Finding the Fourth Proportional to 1,400.05, 1,931.50 and 840.53

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Solution

The fourth proportional to 1,400.05, 1,931.50 and 840.53 is: 1,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.05 : 1,931.50 = 840.53 : x
  2. Step 2: Convert to fraction form
    1,400.05/1,931.50 = 840.53/x
  3. Step 3: Cross multiply
    1,400.05x = 1,931.50 × 840.53
  4. Step 4: Simplify right side
    1,400.05x = 1,623,483.70
  5. Step 5: Solve for x
    x = 1,623,483.70/1,400.05
  6. Step 6: Final answer
    x = 1,159.59

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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.