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Finding the Fourth Proportional to 1,130.07, 1,558.49 and 710.47

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Solution

The fourth proportional to 1,130.07, 1,558.49 and 710.47 is: 979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.07 : 1,558.49 = 710.47 : x
  2. Step 2: Convert to fraction form
    1,130.07/1,558.49 = 710.47/x
  3. Step 3: Cross multiply
    1,130.07x = 1,558.49 × 710.47
  4. Step 4: Simplify right side
    1,130.07x = 1,107,260.39
  5. Step 5: Solve for x
    x = 1,107,260.39/1,130.07
  6. Step 6: Final answer
    x = 979.82

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1.5x scale

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.