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Finding the Fourth Proportional to 1,130.64, 1,559.71 and 710.20

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Solution

The fourth proportional to 1,130.64, 1,559.71 and 710.20 is: 979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.64 : 1,559.71 = 710.20 : x
  2. Step 2: Convert to fraction form
    1,130.64/1,559.71 = 710.20/x
  3. Step 3: Cross multiply
    1,130.64x = 1,559.71 × 710.20
  4. Step 4: Simplify right side
    1,130.64x = 1,107,706.04
  5. Step 5: Solve for x
    x = 1,107,706.04/1,130.64
  6. Step 6: Final answer
    x = 979.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.