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Finding the Fourth Proportional to 1,440.84, 2,159.64 and 710.93

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Solution

The fourth proportional to 1,440.84, 2,159.64 and 710.93 is: 1,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.84 : 2,159.64 = 710.93 : x
  2. Step 2: Convert to fraction form
    1,440.84/2,159.64 = 710.93/x
  3. Step 3: Cross multiply
    1,440.84x = 2,159.64 × 710.93
  4. Step 4: Simplify right side
    1,440.84x = 1,535,352.87
  5. Step 5: Solve for x
    x = 1,535,352.87/1,440.84
  6. Step 6: Final answer
    x = 1,065.60

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Why These Related Problems?

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