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Finding the Fourth Proportional to 1,386.24, 1,913.40 and 826.53

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Solution

The fourth proportional to 1,386.24, 1,913.40 and 826.53 is: 1,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.24 : 1,913.40 = 826.53 : x
  2. Step 2: Convert to fraction form
    1,386.24/1,913.40 = 826.53/x
  3. Step 3: Cross multiply
    1,386.24x = 1,913.40 × 826.53
  4. Step 4: Simplify right side
    1,386.24x = 1,581,482.50
  5. Step 5: Solve for x
    x = 1,581,482.50/1,386.24
  6. Step 6: Final answer
    x = 1,140.84

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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.