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Finding the Fourth Proportional to 1,106.03, 1,526.47 and 714.19

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Solution

The fourth proportional to 1,106.03, 1,526.47 and 714.19 is: 985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.03 : 1,526.47 = 714.19 : x
  2. Step 2: Convert to fraction form
    1,106.03/1,526.47 = 714.19/x
  3. Step 3: Cross multiply
    1,106.03x = 1,526.47 × 714.19
  4. Step 4: Simplify right side
    1,106.03x = 1,090,189.61
  5. Step 5: Solve for x
    x = 1,090,189.61/1,106.03
  6. Step 6: Final answer
    x = 985.68

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Double scale
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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.