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Finding the Fourth Proportional to 1,347.70, 1,859.58 and 758.02

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Solution

The fourth proportional to 1,347.70, 1,859.58 and 758.02 is: 1,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.70 : 1,859.58 = 758.02 : x
  2. Step 2: Convert to fraction form
    1,347.70/1,859.58 = 758.02/x
  3. Step 3: Cross multiply
    1,347.70x = 1,859.58 × 758.02
  4. Step 4: Simplify right side
    1,347.70x = 1,409,598.83
  5. Step 5: Solve for x
    x = 1,409,598.83/1,347.70
  6. Step 6: Final answer
    x = 1,045.93

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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.